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

- In group theory, a branch of mathematics, a subset of a group G is a subgroup of G if the members of that subset form a group with respect to the 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} . A Sylow p-subgroup (sometimes p-Sylow subgroup) of a finite group G {\displaystyle G} is a maximal p {\displaystyle p} -subgroup of G {\displaystyle...
- 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...
- mathematics, specifically group theory, a subgroup series of a group G {\displaystyle G} is a chain of subgroups: 1 = A 0 ≤ A 1 ≤ ⋯ ≤ A n = G {\displaystyle...
- A language family is a group of languages related through descent from a common ancestor, called the proto-language of that family. The term family is...
- commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group. The commutator subgroup is important...
- In mathematics, in the field of group theory, a subgroup H {\displaystyle H} of a group G {\displaystyle G} is termed malnormal if for any x {\displaystyle...
- algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup. For example, in the general...
- theory, a quasinormal subgroup, or permutable subgroup, is a subgroup of a group that commutes (permutes) with every other subgroup with respect to the...