Difference between revisions of "Supergroup"
From Online Dictionary of Crystallography
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| − | <font color="blue">Supergroupe</font> (''Fr''); <font color="black">Supergruppo</font> (''It''); <font color="purple">超群</font> (''Ja''). | + | <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''). |
| − | If G is a group and H a [[subgroup]] of G, then G is a '''supergroup''' of H. | + | If ''G'' is a [[group]] and ''H'' is a [[subgroup]] of ''G'', then ''G'' is a '''supergroup''' of ''H''. |
| − | If H is a | + | If ''H'' is a [[subgroup|maximal subgroup]] of ''G'', then ''G'' is a '''minimal supergroup''' of ''H''. |
==See also== | ==See also== | ||
Revision as of 10:50, 2 April 2009
Supergroupe (Fr); Obergruppe (Ge); Supergruppo (It); 超群 (Ja).
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
- Section 8.3.3 in the International Tables for Crystallography, Volume A