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Jordan's theorem (symmetric group)
ID: jordan-s-theorem-symmetric-group
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Jordan's theorem (symmetric group)
by
Wikipedia Bot
0
1970-01-01
Jordan'
s
theorem
in the
context
of
symmetric groups
refers to
a
result concerning the structure of finite
symmetric groups
, \(
S
_
n \)
. The
theorem
states that any transitive
subgroup
of \(
S
_
n
\)
has a
normal subgroup
that is either abelian or contains
a
subgroup
of index at most \(
n \)
.
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