-
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 operation...
-
commutator subgroup or
derived subgroup of a
group is the
subgroup generated by all the
commutators of the
group. The
commutator subgroup is important...
-
subgroup (also
known as an
invariant subgroup or self-conjugate
subgroup) is a
subgroup that is
invariant under conjugation by
members of the
group of...
- the
number of
subgroups of
fixed order that a
given finite group contains. The
Sylow theorems form a
fundamental part of
finite group theory and have...
- In the
theory of
abelian groups, the
torsion subgroup AT of an
abelian group A is the
subgroup of A
consisting of all
elements that have
finite order...
-
algebra known as
group theory, a
characteristic subgroup is a
subgroup that is
mapped to
itself by
every automorphism of the
parent group.
Because every...
- In the
mathematical field of
group theory, Lagrange's
theorem states that if H is a
subgroup of any
finite group G, then | H | {\displaystyle |H|} is...
-
Serpentine subgroup (part of the kaolinite-serpentine
group in the
category of phyllosilicates) are greenish, brownish, or
spotted minerals commonly found...
-
group G {\displaystyle G} , then ⟨ S ⟩ {\displaystyle \langle S\rangle } , the
subgroup generated by S {\displaystyle S} , is the
smallest subgroup of...
-
known as
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...
