Question

Using the 6 sets of sets of 5 disjoint 2-cycles and the 3 sets of 5 pairwise disjoint triangles to exhibit an outer automorphism of $S_6$.

score 88 · Answer 1 · 2012-10-23 13:47:40

88

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Using the 6 sets of sets of 5 disjoint 2-cycles and the 3 sets of 5 pairwise disjoint triangles to exhibit an outer automorphism of $S_6$.

Published on 23 Oct 2012 - 13:47

score 14.8k · Answer 2 · 2012-10-25 07:32:59

14.8k

Views

Orders of the Normal Subgroups of $A_4$

Published on 25 Oct 2012 - 7:32

score 16.1k · Answer 3 · 2012-10-26 00:00:35

16.1k

Views

Maximal order of an element in a symmetric group

Published on 26 Oct 2012 - 0:00

score 854 · Answer 4 · 2012-11-02 05:11:56

854

Views

Commutator is a 3-cycle if...

Published on 02 Nov 2012 - 5:11

score 409 · Answer 5 · 2012-11-21 02:20:06

409

Views

Injective Homomorphism on $S_n$

Published on 21 Nov 2012 - 2:20

score 163 · Answer 6 · 2012-11-21 03:06:02

163

Views

A step in the proof of Cauchy's theorem for groups

Published on 21 Nov 2012 - 3:06

score 127 · Answer 7 · 2012-12-04 18:50:35

127

Views

An elementary fact about Sylow subgroup of Sym(n)

Published on 04 Dec 2012 - 18:50

score 1.4k · Answer 8 · 2012-12-05 00:19:32

1.4k

Views

Finding all elements of a given order for a group

Published on 05 Dec 2012 - 0:19

score 15.7k · Answer 9 · 2012-12-05 05:45:19

15.7k

Views

Orders of a symmetric group

Published on 05 Dec 2012 - 5:45

score 257 · Answer 10 · 2012-12-05 08:27:11

257

Views

Why is $(1,2,...,p)$ in the center of a Sylow $p$-subgroup of $S_n$?

Published on 05 Dec 2012 - 8:27

score 94 · Answer 11 · 2012-12-08 17:34:53

94

Views

$K \subset S_4$ contains a 3-cycle and a 4-cycle $\implies K = S_4$

Published on 08 Dec 2012 - 17:34

score 1.9k · Answer 12 · 2012-12-10 12:26:40

1.9k

Views

Galois group of $f(X) = X^4 + 3X^2 + 1$

Published on 10 Dec 2012 - 12:26

score 776 · Answer 13 · 2026-03-29 19:11:12

776

Views

Some irreducible characters of the Symmetric group $S_n$

Published on 29 Mar 2026 - 19:11

score 154 · Answer 14 · 2012-12-16 10:19:24

154

Views

Let $P$ be a Sylow $p$-subgroup of $\operatorname{Sym}(n)$. If $p$ does not divide $n$, then $P\leq\operatorname{Sym}(n-1)$

Published on 16 Dec 2012 - 10:19

score 4.3k · Answer 15 · 2026-03-31 15:16:17

4.3k

Views

What does cubic symmetry mean?

Published on 31 Mar 2026 - 15:16

List Question

Using the 6 sets of sets of 5 disjoint 2-cycles and the 3 sets of 5 pairwise disjoint triangles to exhibit an outer automorphism of $S_6$.

Orders of the Normal Subgroups of $A_4$

Maximal order of an element in a symmetric group

Commutator is a 3-cycle if...

Injective Homomorphism on $S_n$

A step in the proof of Cauchy's theorem for groups

An elementary fact about Sylow subgroup of Sym(n)

Finding all elements of a given order for a group

Orders of a symmetric group

Why is $(1,2,...,p)$ in the center of a Sylow $p$-subgroup of $S_n$?

$K \subset S_4$ contains a 3-cycle and a 4-cycle $\implies K = S_4$

Galois group of $f(X) = X^4 + 3X^2 + 1$

Some irreducible characters of the Symmetric group $S_n$

Let $P$ be a Sylow $p$-subgroup of $\operatorname{Sym}(n)$. If $p$ does not divide $n$, then $P\leq\operatorname{Sym}(n-1)$

What does cubic symmetry mean?

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