Question

Is there an automorphism of symmetric group of degree 6 sending a transposition to product of two transpositions?

score 204 · Answer 1 · 2013-09-14 08:57:27

204

Views

Is there an automorphism of symmetric group of degree 6 sending a transposition to product of two transpositions?

Published on 14 Sep 2013 - 8:57

score 76 · Answer 2 · 2013-09-15 02:57:06

76

Views

The order of permutation groups and alternating groups

Published on 15 Sep 2013 - 2:57

score 95 · Answer 3 · 2013-09-15 21:41:35

95

Views

Sets, that have $\operatorname{LCM}\left(|c_1|,\dots,|c_p|\right)=\sum_{k=1}^p |c_k|$

Published on 15 Sep 2013 - 21:41

score 1.6k · Answer 4 · 2013-09-16 19:59:51

1.6k

Views

Which elements could possibly commute with a cycle of full length in $S_n$?

Published on 16 Sep 2013 - 19:59

score 110 · Answer 5 · 2013-09-17 06:13:36

110

Views

Algebraic expressions and permutation groups

Published on 17 Sep 2013 - 6:13

score 136 · Answer 6 · 2013-09-19 03:22:04

136

Views

A problem of permutation group

Published on 19 Sep 2013 - 3:22

score 189 · Answer 7 · 2013-09-19 05:34:31

189

Views

Approximation for the number of involutions?

Published on 19 Sep 2013 - 5:34

score 1.2k · Answer 8 · 2026-03-30 11:57:19

1.2k

Views

Automorphism group of alternating group.

Published on 30 Mar 2026 - 11:57

score 11.2k · Answer 9 · 2013-09-20 13:46:27

11.2k

Views

Logic for decomposing a permutation into different products composed of transpositions

Published on 20 Sep 2013 - 13:46

score 993 · Answer 10 · 2013-09-20 17:33:28

993

Views

Conjugate subgroups and conjugate elements

Published on 20 Sep 2013 - 17:33

score 762 · Answer 11 · 2013-09-25 14:45:52

762

Views

$(1 2)(3 4)$ does not commute with any nonidentity element of odd order in $A_5$.

Published on 25 Sep 2013 - 14:45

score 43 · Answer 12 · 2026-03-29 21:58:23

43

Views

Give examples of polytopes $\Delta$ in $\mathbb{AR}^3$ such that

Published on 29 Mar 2026 - 21:58

score 784 · Answer 13 · 2013-10-05 00:14:18

784

Views

Necessary and Sufficient conditions for $(i \, j)$ and $(1 \, 2 \, \dotsc \, n)$ generate $S_n$.

Published on 05 Oct 2013 - 0:14

score 98 · Answer 14 · 2013-10-06 14:49:46

98

Views

Number of sets mapped into a given set by permutations.

Published on 06 Oct 2013 - 14:49

score 55 · Answer 15 · 2013-10-06 23:36:50

55

Views

The character of $\mathbb{C}[S_n]b_\lambda$

Published on 06 Oct 2013 - 23:36

List Question

Is there an automorphism of symmetric group of degree 6 sending a transposition to product of two transpositions?

The order of permutation groups and alternating groups

Sets, that have $\operatorname{LCM}\left(|c_1|,\dots,|c_p|\right)=\sum_{k=1}^p |c_k|$

Which elements could possibly commute with a cycle of full length in $S_n$?

Algebraic expressions and permutation groups

A problem of permutation group

Approximation for the number of involutions?

Automorphism group of alternating group.

Logic for decomposing a permutation into different products composed of transpositions

Conjugate subgroups and conjugate elements

$(1 2)(3 4)$ does not commute with any nonidentity element of odd order in $A_5$.

Give examples of polytopes $\Delta$ in $\mathbb{AR}^3$ such that

Necessary and Sufficient conditions for $(i \, j)$ and $(1 \, 2 \, \dotsc \, n)$ generate $S_n$.

Number of sets mapped into a given set by permutations.

The character of $\mathbb{C}[S_n]b_\lambda$

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