- 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...
-
Every subgroup of a
finite group is a
contranormal subgroup of a
subnormal subgroup. In general,
every subgroup of a
group is a
contranormal subgroup of...
-
specifically group theory, an
abnormal subgroup is a
subgroup H of a
group G such that for all x in G, x lies in the
subgroup generated by H and H x,
where H x...
- In
abstract algebra, a
normal subgroup (also
known as an
invariant subgroup or self-conjugate
subgroup) is a
subgroup that is
invariant under conjugation...
-
representation theory of
algebraic groups, an
observable subgroup is an
algebraic subgroup of a
linear algebraic group whose every finite-dimensional...
- 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...
-
group theory, for a
given group G, the
diagonal subgroup of the n-fold
direct product G n is the
subgroup { ( g , … , g ) ∈ G n : g ∈ 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...
- of
group theory, a conjugate-permutable
subgroup is a
subgroup that
commutes with all its
conjugate subgroups. The term was
introduced by
Tuval Foguel...
- 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...
