https://dictionary.iucr.org/index.php?action=history&feed=atom&title=Center
Center - Revision history
2026-06-04T00:36:25Z
Revision history for this page on the wiki
MediaWiki 1.30.0
https://dictionary.iucr.org/index.php?title=Center&diff=4406&oldid=prev
BrianMcMahon: Tidied translations.
2017-11-09T17:00:02Z
<p>Tidied translations.</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 17:00, 9 November 2017</td>
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<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><font color="<del class="diffchange diffchange-inline">blue</del>"><del class="diffchange diffchange-inline">Centre</del></font> (''<del class="diffchange diffchange-inline">Fr</del>'')<del class="diffchange diffchange-inline">; </del><font color="<del class="diffchange diffchange-inline">red</del>"><del class="diffchange diffchange-inline">Zentrum</del></font> (''<del class="diffchange diffchange-inline">Ge</del>'')<del class="diffchange diffchange-inline">; </del><font color="<del class="diffchange diffchange-inline">green</del>"><del class="diffchange diffchange-inline">Centro</del></font> (''<del class="diffchange diffchange-inline">Sp</del>'')<del class="diffchange diffchange-inline">; </del><font color="black">Centro</font> (''It'')<del class="diffchange diffchange-inline">; </del><font color="purple">中心</font> (''Ja'')<del class="diffchange diffchange-inline">; </del><font color="<del class="diffchange diffchange-inline">orange</del>"><del class="diffchange diffchange-inline">مركز</del></font> (''<del class="diffchange diffchange-inline">Ar</del>'').</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><font color="<ins class="diffchange diffchange-inline">orange</ins>"><ins class="diffchange diffchange-inline">مركز</ins></font> (''<ins class="diffchange diffchange-inline">Ar</ins>'')<ins class="diffchange diffchange-inline">. </ins><font color="<ins class="diffchange diffchange-inline">blue</ins>"><ins class="diffchange diffchange-inline">Centre</ins></font> (''<ins class="diffchange diffchange-inline">Fr</ins>'')<ins class="diffchange diffchange-inline">. </ins><font color="<ins class="diffchange diffchange-inline">red</ins>"><ins class="diffchange diffchange-inline">Zentrum</ins></font> (''<ins class="diffchange diffchange-inline">Ge</ins>'')<ins class="diffchange diffchange-inline">. </ins><font color="black">Centro</font> (''It'')<ins class="diffchange diffchange-inline">. </ins><font color="purple">中心</font> (''Ja'')<ins class="diffchange diffchange-inline">. </ins><font color="<ins class="diffchange diffchange-inline">green</ins>"><ins class="diffchange diffchange-inline">Centro</ins></font> (''<ins class="diffchange diffchange-inline">Sp</ins>'').</div></td></tr>
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BrianMcMahon
https://dictionary.iucr.org/index.php?title=Center&diff=4287&oldid=prev
MassimoNespolo: Lang (Ar)
2017-09-14T09:14:38Z
<p>Lang (Ar)</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:14, 14 September 2017</td>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Center&diff=3945&oldid=prev
BrianMcMahon: Style edits to align with printed edition
2017-05-13T10:22:48Z
<p>Style edits to align with printed edition</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 10:22, 13 May 2017</td>
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<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><font color="blue">Centre</font> (''Fr'')<del class="diffchange diffchange-inline">; </del><font color="red">Zentrum</font> (''Ge'')<del class="diffchange diffchange-inline">; </del><font color="green">Centro</font> (''Sp'')<del class="diffchange diffchange-inline">; </del><font color="black">Centro</font> (''It'')<del class="diffchange diffchange-inline">; </del><font color="purple">中心</font> (''Ja'').</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><font color="blue">Centre</font> (''Fr'')<ins class="diffchange diffchange-inline">. </ins><font color="red">Zentrum</font> (''Ge'')<ins class="diffchange diffchange-inline">. </ins><font color="green">Centro</font> (''Sp'')<ins class="diffchange diffchange-inline">. </ins><font color="black">Centro</font> (''It'')<ins class="diffchange diffchange-inline">. </ins><font color="purple">中心</font> (''Ja'').</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The '''<del class="diffchange diffchange-inline">center</del>''' (or '''<del class="diffchange diffchange-inline">centre</del>''') of a [[group]] ''G'' is the set ''Z(G)'' =  </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The '''<ins class="diffchange diffchange-inline">centre</ins>''' (or '''<ins class="diffchange diffchange-inline">center</ins>''') of a [[group]] ''G'' is the set ''Z(G)'' =  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{ ''a'' in ''G'' : ''a*g'' = ''g*a'' for all ''g'' in ''G'' } of elements commuting with all elements of ''G''.  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{ ''a'' in ''G'' : ''a*g'' = ''g*a'' for all ''g'' in ''G'' } of elements commuting with all elements of ''G''.  </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The <del class="diffchange diffchange-inline">center </del>is an [[Abelian group]].</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The <ins class="diffchange diffchange-inline">centre </ins>is an [[Abelian group]].</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The <del class="diffchange diffchange-inline">center </del>of a group ''G'' is always a [[normal subgroup]] of ''G'', namely the [[group homomorphism|kernel]]  </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The <ins class="diffchange diffchange-inline">centre </ins>of a group ''G'' is always a [[normal subgroup]] of ''G'', namely the [[group homomorphism|kernel]]  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>of the [[group homomorphism|homomorphism]] mapping an element ''a'' of ''G'' to the [[automorphism|inner automorphism]] ''f<sub>a</sub>'': ''g'' &rarr; ''aga<sup>-1</sup>''.  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>of the [[group homomorphism|homomorphism]] mapping an element ''a'' of ''G'' to the [[automorphism|inner automorphism]] ''f<sub>a</sub>'': ''g'' &rarr; ''aga<sup>-1</sup>''.  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
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BrianMcMahon
https://dictionary.iucr.org/index.php?title=Center&diff=3416&oldid=prev
MassimoNespolo: see also
2014-08-27T13:59:23Z
<p>see also</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 13:59, 27 August 2014</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>of the [[group homomorphism|homomorphism]] mapping an element ''a'' of ''G'' to the [[automorphism|inner automorphism]] ''f<sub>a</sub>'': ''g'' &rarr; ''aga<sup>-1</sup>''.  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>of the [[group homomorphism|homomorphism]] mapping an element ''a'' of ''G'' to the [[automorphism|inner automorphism]] ''f<sub>a</sub>'': ''g'' &rarr; ''aga<sup>-1</sup>''.  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">==See also==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*[[Centralizer]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*[[Normalizer]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*[[Stabilizer]]</ins></div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Fundamental crystallography]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Fundamental crystallography]]</div></td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Center&diff=3399&oldid=prev
MassimoNespolo: Ja
2014-08-24T15:39:02Z
<p>Ja</p>
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</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
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<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><font color="blue">Centre</font> (''Fr''); <font color="red">Zentrum</font> (''Ge''); <font color="green">Centro</font> (''Sp''); <font color="black">Centro</font> (''It'').</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><font color="blue">Centre</font> (''Fr''); <font color="red">Zentrum</font> (''Ge''); <font color="green">Centro</font> (''Sp''); <font color="black">Centro</font> (''It<ins class="diffchange diffchange-inline">''); <font color="purple">中心</font> (''Ja</ins>'').</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
MassimoNespolo
https://dictionary.iucr.org/index.php?title=Center&diff=2979&oldid=prev
BerndSouvignier: initial definition
2009-04-02T11:34:34Z
<p>initial definition</p>
<p><b>New page</b></p><div><font color="blue">Centre</font> (''Fr''); <font color="red">Zentrum</font> (''Ge''); <font color="green">Centro</font> (''Sp''); <font color="black">Centro</font> (''It'').<br />
<br />
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The '''center''' (or '''centre''') of a [[group]] ''G'' is the set ''Z(G)'' = <br />
{ ''a'' in ''G'' : ''a*g'' = ''g*a'' for all ''g'' in ''G'' } of elements commuting with all elements of ''G''. <br />
The center is an [[Abelian group]].<br />
<br />
The center of a group ''G'' is always a [[normal subgroup]] of ''G'', namely the [[group homomorphism|kernel]] <br />
of the [[group homomorphism|homomorphism]] mapping an element ''a'' of ''G'' to the [[automorphism|inner automorphism]] ''f<sub>a</sub>'': ''g'' &rarr; ''aga<sup>-1</sup>''. <br />
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[[Category:Fundamental crystallography]]</div>
BerndSouvignier