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...
- 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...
- In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation...
- 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...
- area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is mapped to itself by every automorphism of the parent group...
- 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...
- commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group. The commutator subgroup is important...
- field of group theory, a subgroup H of a given group G is a subnormal subgroup of G if there is a finite chain of subgroups of the group, each one normal...
- 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...
- theory, a quasinormal subgroup, or permutable subgroup, is a subgroup of a group that commutes (permutes) with every other subgroup with respect to the...