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Commutator subgroup
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Mathematics
Fields of mathematics
Fields of abstract algebra
Group theory
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The
commutator subgroup
of
a
group
\(
G \)
, often denoted
as
\( [
G
,
G
] \) or sometimes
as
\(
G' \)
, is
a
specific
subgroup
of \(
G
\) that captures the "non-abelian" structure of the
group
. It is constructed using the
commutators
of elements from \(
G \)
.
Ancestors
(5)
Group theory
Fields of abstract algebra
Fields of mathematics
Mathematics
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