Complete Definition of "subgroup"

English

Noun
en-noun

  1. A group within a larger group; a group whose members are some, but not all, of the members of a larger group.
  2. grouptheory A subset H of a group G that is itself a group and has the same binary operation as G.

Synonyms
(group within a group): subset

Derived terms
Cartan subgroup
Fitting subgroup
normal subgroup
proper subgroup
trivial subgroup
stable subgroup

Translations
trans-top|group within a larger group
Croatian: t-|hr|podgrupa|f
trans-mid
Swedish: t+|sv|undergrupp|c
trans-bottom

trans-top|in group theory
Croatian: t-|hr|podgrupa|f
French: t-|fr|sous-groupe|m
German: Untergruppe f
Italian: t-|it|sottogruppo|m
trans-mid
Portuguese: t-|pt|subgrupo|m
Spanish: t-|es|subgrupo|m
Swedish: t+|sv|delgrupp|c
trans-bottom

Category:Algebra

ru:subgroup
sv:subgroup
vi:subgroup
tr:subgroup

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