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by
Ciro Santilli
(
@cirosantilli,
36
)
Alternating group
(
A
n
)
...
Algebra
Group
Important mathematical group
Important discrete mathematical group
Permutation
Permutation group
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on same topic
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Updated
2025-04-24
+
Created
1970-01-01
See my version
Group
of
even permutations
.
Note that
odd permutations
don'
t
form
a
subgroup
of the
symmetric group
like the
even permutations
do, because the composition of two
odd permutations
is an
even permutation
.
Table of contents
Alternating group of degree 5
Alternating group
The alternating groups of degree 5 or greater are simple
Alternating group of degree 5
Alternating group of degree 5
0
0
0
Alternating group
The alternating groups of degree 5 or greater are simple
0
0
0
Alternating group of degree 5
www.youtube.com/watch?v=U_618kB6P1Q
GT18.
2
.
A
_
n
is Simple (
n
ge
5
) by
MathDoctorBob
(2012)
Ancestors
(9)
Permutation group
Permutation
Important discrete mathematical group
Important mathematical group
Group
Algebra
Area of mathematics
Mathematics
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(4)
Chevalley groups
A
n
(
q
)
Classification of finite simple groups
Group of Lie type
Mathieu group
Synonyms
(1)
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Alternating group
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1970-01-01
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