Question

If $\sigma , \sigma ' \in \mathfrak{S}_n$, then $\sigma \circ \sigma '$ and $\sigma ' \circ \sigma $ have the same order proof.

score 62 · Answer 1 · 2017-07-25 13:33:11

62

Views

If $\sigma , \sigma ' \in \mathfrak{S}_n$, then $\sigma \circ \sigma '$ and $\sigma ' \circ \sigma $ have the same order proof.

Published on 25 Jul 2017 - 13:33

score 767 · Answer 2 · 2026-03-25 20:09:30

767

Views

Schur function principal specialisation

Published on 25 Mar 2026 - 20:09

score 993 · Answer 3 · 2017-08-05 03:04:54

993

Views

Order of Subgroup in $S_5$ generated by $(123), (345)$

Published on 05 Aug 2017 - 3:04

score 105 · Answer 4 · 2017-08-07 20:22:24

105

Views

Word metric for abelian groups

Published on 07 Aug 2017 - 20:22

score 82 · Answer 5 · 2017-08-12 12:33:47

82

Views

About normality of $V = \{1,(12)(34),(13)(24),(14)(23)\}$ in $S_4$

Published on 12 Aug 2017 - 12:33

score 195 · Answer 6 · 2017-08-16 01:34:07

195

Views

For $n\geq 3$ there exist $x,y\in S_n$ such that $x$ and $y$ have order $2$ and $xy$ has order $n$.

Published on 16 Aug 2017 - 1:34

score 63 · Answer 7 · 2017-08-17 09:03:25

63

Views

Properties of $\operatorname{Aut}(X)$

Published on 17 Aug 2017 - 9:03

score 161 · Answer 8 · 2017-08-17 16:09:51

161

Views

$\lim_{n\to\infty} \frac{\text {No. of elements of order 2 in }S_n}{\text {No. of elements of order 2 in} A_n}=?$

Published on 17 Aug 2017 - 16:09

score 224 · Answer 9 · 2017-08-20 12:38:09

224

Views

subgroup of $GL_n(\mathbb{C})$ which is isomorphic to $S_4$

Published on 20 Aug 2017 - 12:38

score 327 · Answer 10 · 2017-08-23 12:12:16

327

Views

Proof any Finite Doubly Transitive Permutation Group containing a transposition is a Full Symmetric Group?

Published on 23 Aug 2017 - 12:12

score 1.1k · Answer 11 · 2017-08-26 23:52:40

1.1k

Views

Subgroup of $S_7$ generated by two permutations

Published on 26 Aug 2017 - 23:52

score 47 · Answer 12 · 2017-08-27 13:45:37

47

Views

Size of the independent set in a symmetric group $S_n$

Published on 27 Aug 2017 - 13:45

score 1.2k · Answer 13 · 2017-08-29 16:58:24

1.2k

Views

Show that the identity permutation cannot be expressed as the product of an odd number of transpositions.

Published on 29 Aug 2017 - 16:58

score 83 · Answer 14 · 2026-03-25 04:41:42

83

Views

Conventions for Kazhdan Lusztig-polynomials and the form of the KL-conjecture

Published on 25 Mar 2026 - 4:41

score 4.3k · Answer 15 · 2017-09-04 10:14:51

4.3k

Views

Element of Largest Order in $S_n$

Published on 04 Sep 2017 - 10:14

List Question

If $\sigma , \sigma ' \in \mathfrak{S}_n$, then $\sigma \circ \sigma '$ and $\sigma ' \circ \sigma $ have the same order proof.

Schur function principal specialisation

Order of Subgroup in $S_5$ generated by $(123), (345)$

Word metric for abelian groups

About normality of $V = \{1,(12)(34),(13)(24),(14)(23)\}$ in $S_4$

For $n\geq 3$ there exist $x,y\in S_n$ such that $x$ and $y$ have order $2$ and $xy$ has order $n$.

Properties of $\operatorname{Aut}(X)$

$\lim_{n\to\infty} \frac{\text {No. of elements of order 2 in }S_n}{\text {No. of elements of order 2 in} A_n}=?$

subgroup of $GL_n(\mathbb{C})$ which is isomorphic to $S_4$

Proof any Finite Doubly Transitive Permutation Group containing a transposition is a Full Symmetric Group?

Subgroup of $S_7$ generated by two permutations

Size of the independent set in a symmetric group $S_n$

Show that the identity permutation cannot be expressed as the product of an odd number of transpositions.

Conventions for Kazhdan Lusztig-polynomials and the form of the KL-conjecture

Element of Largest Order in $S_n$

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