Definition of Subgroup. Meaning of Subgroup. Synonyms of Subgroup

Here you will find one or more explanations in English for the word Subgroup. Also in the bottom left of the page several parts of wikipedia pages related to the word Subgroup and, of course, Subgroup synonyms and on the right images related to the word Subgroup.

Definition of Subgroup

Subgroup
Subgroup Sub"group`, n. (Biol.) A subdivision of a group, as of animals. --Darwin.

Meaning of Subgroup from wikipedia

- as "H is a subgroup of G". The trivial subgroup of any group is the subgroup {e} consisting of just the identity element. A proper subgroup of a group...
- In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation...
- p-subgroup (sometimes p-Sylow subgroup) of a group G{\displaystyle G} is a maximal p{\displaystyle p}-subgroup of G{\displaystyle G}, i.e., a subgroup of...
- commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group. The commutator subgroup is important...
- Subgroup analysis refers to repeating the analysis of a study within subgroups of subjects defined by a subgrouping variable. For example: smoking status...
- the term maximal subgroup is used to mean slightly different things in different areas of algebra. In group theory, a maximal subgroup H of a group G is...
- In the theory of abelian groups, the torsion subgroup AT of an abelian group A is the subgroup of A consisting of all elements that have finite order...
- group theory, the ****ing subgroup F of a finite group G, named after Hans ****ing, is the unique largest normal nilpotent subgroup of G. Intuitively, it...
- Parabolic subgroup may refer to: a parabolic subgroup of a reflection group a subgroup of an algebraic group that contains a Borel subgroup This disambiguation...
- diagonal subgroup of the n-fold direct product G  n is the subgroup {(g,…,g)∈Gn:g∈G}.{\displaystyle \{(g,\dots ,g)\in G^{n}:g\in G\}.} This subgroup is isomorphic...