Are elements in $A_n$ the squares of elements in $S_n$? [duplicate]
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This question already has an answer here:
Characterisation of the squares of the symmetric group
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Tt is true that elements in $A_4$ are squares of elements in $S_4$.
Is it true for $A_n$?
abstract-algebra group-theory
asked Dec 5 '18 at 13:47
user42493user42493
1837
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marked as duplicate by José Carlos Santos, Arnaud D., Pierre-Guy Plamondon, Dietrich Burde abstract-algebra
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Dec 5 '18 at 14:06
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
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This question already has an answer here:
Characterisation of the squares of the symmetric group
1 answer
Tt is true that elements in $A_4$ are squares of elements in $S_4$.
Is it true for $A_n$?
abstract-algebra group-theory
asked Dec 5 '18 at 13:47
user42493user42493
1837
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marked as duplicate by José Carlos Santos, Arnaud D., Pierre-Guy Plamondon, Dietrich Burde abstract-algebra
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Dec 5 '18 at 14:06
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
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How about $A_5$?
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– Lord Shark the Unknown
Dec 5 '18 at 13:48
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$begingroup$
This question already has an answer here:
Characterisation of the squares of the symmetric group
1 answer
Tt is true that elements in $A_4$ are squares of elements in $S_4$.
Is it true for $A_n$?
abstract-algebra group-theory
asked Dec 5 '18 at 13:47
user42493user42493
1837
$endgroup$
This question already has an answer here:
Characterisation of the squares of the symmetric group
1 answer
Tt is true that elements in $A_4$ are squares of elements in $S_4$.
Is it true for $A_n$?
This question already has an answer here:
Characterisation of the squares of the symmetric group
1 answer
abstract-algebra group-theory
abstract-algebra group-theory
asked Dec 5 '18 at 13:47
user42493user42493
1837
asked Dec 5 '18 at 13:47
user42493user42493
1837
asked Dec 5 '18 at 13:47
user42493user42493
1837
asked Dec 5 '18 at 13:47
user42493user42493
1837
asked Dec 5 '18 at 13:47
user42493user42493
1837
1837
marked as duplicate by José Carlos Santos, Arnaud D., Pierre-Guy Plamondon, Dietrich Burde abstract-algebra
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Dec 5 '18 at 14:06
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Dec 5 '18 at 14:06
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
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How about $A_5$?
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– Lord Shark the Unknown
Dec 5 '18 at 13:48
add a comment |
$begingroup$
How about $A_5$?
$endgroup$
– Lord Shark the Unknown
Dec 5 '18 at 13:48
$begingroup$
How about $A_5$?
$endgroup$
– Lord Shark the Unknown
Dec 5 '18 at 13:48
$begingroup$
How about $A_5$?
$endgroup$
– Lord Shark the Unknown
Dec 5 '18 at 13:48
add a comment |
1 Answer
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$A_n$ is the set of squares for $nle 5$. See oeis.org/A003483.
In general, $A_n$ is the set of products of squares, that is, the subgroup generated by the squares.
answered Dec 5 '18 at 14:02
lhflhf
164k10170395
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Adapted from math.stackexchange.com/a/538179/589
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– lhf
Dec 5 '18 at 14:03
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
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active
oldest
votes
$begingroup$
$A_n$ is the set of squares for $nle 5$. See oeis.org/A003483.
In general, $A_n$ is the set of products of squares, that is, the subgroup generated by the squares.
answered Dec 5 '18 at 14:02
lhflhf
164k10170395
$endgroup$
$begingroup$
Adapted from math.stackexchange.com/a/538179/589
$endgroup$
– lhf
Dec 5 '18 at 14:03
add a comment |
$begingroup$
$A_n$ is the set of squares for $nle 5$. See oeis.org/A003483.
In general, $A_n$ is the set of products of squares, that is, the subgroup generated by the squares.
answered Dec 5 '18 at 14:02
lhflhf
164k10170395
$endgroup$
$begingroup$
Adapted from math.stackexchange.com/a/538179/589
$endgroup$
– lhf
Dec 5 '18 at 14:03
add a comment |
$begingroup$
$A_n$ is the set of squares for $nle 5$. See oeis.org/A003483.
In general, $A_n$ is the set of products of squares, that is, the subgroup generated by the squares.
answered Dec 5 '18 at 14:02
lhflhf
164k10170395
$endgroup$
$A_n$ is the set of squares for $nle 5$. See oeis.org/A003483.
In general, $A_n$ is the set of products of squares, that is, the subgroup generated by the squares.
answered Dec 5 '18 at 14:02
lhflhf
164k10170395
answered Dec 5 '18 at 14:02
lhflhf
164k10170395
answered Dec 5 '18 at 14:02
lhflhf
164k10170395
answered Dec 5 '18 at 14:02
lhflhf
164k10170395
164k10170395
$begingroup$
Adapted from math.stackexchange.com/a/538179/589
$endgroup$
– lhf
Dec 5 '18 at 14:03
add a comment |
$begingroup$
Adapted from math.stackexchange.com/a/538179/589
$endgroup$
– lhf
Dec 5 '18 at 14:03
$begingroup$
Adapted from math.stackexchange.com/a/538179/589
$endgroup$
– lhf
Dec 5 '18 at 14:03
$begingroup$
Adapted from math.stackexchange.com/a/538179/589
$endgroup$
– lhf
Dec 5 '18 at 14:03
add a comment |
$begingroup$
How about $A_5$?
$endgroup$
– Lord Shark the Unknown
Dec 5 '18 at 13:48