- 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...
- {\displaystyle p} , a
Sylow p-
subgroup (sometimes p-Sylow
subgroup) of a
group G {\displaystyle G} is a
maximal p {\displaystyle p} -
subgroup of G {\displaystyle...
- 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...
-
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...
-
Serpentine subgroup (part of the kaolinite-serpentine
group in the
category of phyllosilicates) are greenish, brownish, or
spotted minerals commonly found...
- 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...
-
Subgroup analysis refers to
repeating the
analysis of a
study within subgroups of
subjects defined by a
subgrouping variable (e.g.
smoking status defining...
-
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, the
lattice of
subgroups of a
group G {\displaystyle G} is the
lattice whose elements are the
subgroups of G {\displaystyle G} , with the...
