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Core (group theory)
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Mathematics
Fields of mathematics
Fields of abstract algebra
Group theory
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In
group theory
, the term "core" can refer to
a
specific
concept
related to the notion of
a
normal subgroup
. The core of
a
subgroup
\(
H
\) of
a
group
\(
G \)
, often denoted
as
\( \text{Core}_
G
(
H) \)
, is defined
as
the largest
normal subgroup
of \(
G
\) that is contained within \(
H \)
.
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Group theory
Fields of abstract algebra
Fields of mathematics
Mathematics
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