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Difference between revisions of "Supergroup"

From Online Dictionary of Crystallography

 
(Added Spanish translation (U. Mueller))
 
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<font color="blue">Supergroupe</font> (''Fr''); <font color="black">Supergruppo</font> (''It''); <font color="purple">超群</font> (''Ja'').
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<font color="blue">Supergroupe</font> (''Fr''). <font color="red">Obergruppe</font> (''Ge''). <font color="black">Supergruppo</font> (''It''). <font color="purple">超群</font> (''Ja''). <font color="green">Supergrupo</font> (''Sp'').
  
  
If G is a group and H a [[subgroup]] of G, then G is a '''supergroup''' of H.
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If ''G'' is a [[group]] and ''H'' is a [[subgroup]] of ''G'', then ''G'' is a '''supergroup''' of ''H''.
  
If H is a ''maximal subgroup'' of G, then G is a ''minimal supergroup'' of H.
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If ''H'' is a [[subgroup|maximal subgroup]] of ''G'', then ''G'' is a '''minimal supergroup''' of ''H''.
  
 
==See also==
 
==See also==
 
*[[Subgroup]]
 
*[[Subgroup]]
*Section 8.3.3 in the ''International Tables for Crystallography, Volume A''
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*Chapter 1.7.1.4 of ''International Tables for Crystallography, Volume A'', 6th edition
  
 
[[Category:Fundamental crystallography]]
 
[[Category:Fundamental crystallography]]

Latest revision as of 09:03, 20 November 2017

Supergroupe (Fr). Obergruppe (Ge). Supergruppo (It). 超群 (Ja). Supergrupo (Sp).


If G is a group and H is a subgroup of G, then G is a supergroup of H.

If H is a maximal subgroup of G, then G is a minimal supergroup of H.

See also

  • Subgroup
  • Chapter 1.7.1.4 of International Tables for Crystallography, Volume A, 6th edition