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...
- 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...
- subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries. A very simple example is the 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...
- S\subseteq G} fixed under conjugation. The centralizer and normalizer of S are subgroups of G. Many techniques in group theory are based on studying the centralizers...
- 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...
- Serpentine subgroup (part of the kaolinite-serpentine group in the category of phyllosilicates) are greenish, brownish, or spotted minerals commonly found...
- 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...
- A language family is a group of languages related through descent from a common ancestral language or parental language, called the proto-language of that...