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subgroup

Line breaks: sub|group
Pronunciation: /ˈsʌbɡruːp
 
/

Definition of subgroup in English:

noun

1A subdivision of a group.
Example sentences
  • These groups were further subdivided into subgroups according to the body mass of the respective species.
  • These groups were subdivided into two subgroups of eight animals each: one male and one female.
  • A second subgroup, the episodically homeless, account for approximately 10 percent.
1.1 Mathematics A group whose members are all members of another group, both being subject to the same operations.
Example sentences
  • Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup.
  • The procedure, today much used in computer implementations, enumerates the cosets of a subgroup of finite index in a finitely presented group.
  • After further papers on subgroups of infinite abelian groups and normal numbers he wrote a series of eight papers on Arithmetic on curves of genus 1.

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