Question

Looking for a proof that if a normal subgroup of $Sym(\mathbb N)$ has an element of infinite order then it is the whole group

score 331 · Answer 1 · 2026-03-26 11:18:11

331

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Looking for a proof that if a normal subgroup of $Sym(\mathbb N)$ has an element of infinite order then it is the whole group

Published on 26 Mar 2026 - 11:18

score 2.7k · Answer 2 · 2016-11-07 21:51:29

2.7k

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Compute the left cosets of <(123)> in (S4, o).

Published on 07 Nov 2016 - 21:51

score 370 · Answer 3 · 2026-03-27 11:13:35

370

Views

Socle of a primitive permutation group

Published on 27 Mar 2026 - 11:13

score 79 · Answer 4 · 2016-11-10 10:15:08

79

Views

Let $\tau \in S_{n} $. Show that there exists $\sigma \in S_{n} $ such that $\sigma \circ \tau =\tau ^{-1}\circ \sigma$

Published on 10 Nov 2016 - 10:15

score 158 · Answer 5 · 2016-11-11 12:46:02

158

Views

Compute Centralizer of $G=S_{3}$ and $a=(1,2,3)$

Published on 11 Nov 2016 - 12:46

score 531 · Answer 6 · 2016-11-12 00:41:27

531

Views

How do I form a group of permutations and determine the multiplication table for the group?

Published on 12 Nov 2016 - 0:41

score 108 · Answer 7 · 2016-11-15 18:34:57

108

Views

How many permutations with a given number of disjoint cycles are there?

Published on 15 Nov 2016 - 18:34

score 478 · Answer 8 · 2016-11-16 02:05:26

478

Views

Conjugacy classes splitting in alternating group

Published on 16 Nov 2016 - 2:05

score 329 · Answer 9 · 2016-11-16 03:09:45

329

Views

Understanding a proof about the only normal subgroups of $S_5$

Published on 16 Nov 2016 - 3:09

score 69 · Answer 10 · 2026-03-29 12:57:25

69

Views

Let $h:S_4 \rightarrow \mathbb{Z}$ be a group homomorphism. Prove that $h(x) =0$ for all $x \in S_4$

Published on 29 Mar 2026 - 12:57

score 263 · Answer 11 · 2016-11-17 01:08:00

263

Views

Conjugates of a cycle $\sigma$ in $S_n$

Published on 17 Nov 2016 - 1:08

score 87 · Answer 12 · 2016-11-20 01:03:51

87

Views

Let $H = \{a^2 : a \in S_6\}$. Prove that $H \neq A_6$.

Published on 20 Nov 2016 - 1:03

score 416 · Answer 13 · 2016-11-20 14:11:44

416

Views

Permutation without fixed points.

Published on 20 Nov 2016 - 14:11

score 1.1k · Answer 14 · 2016-11-22 09:30:30

1.1k

Views

Find irreducible representations of a reducible representation of $S_4$

Published on 22 Nov 2016 - 9:30

score 517 · Answer 15 · 2016-11-22 10:21:06

517

Views

Cycle notation permutations question

Published on 22 Nov 2016 - 10:21

List Question

Looking for a proof that if a normal subgroup of $Sym(\mathbb N)$ has an element of infinite order then it is the whole group

Compute the left cosets of <(123)> in (S4, o).

Socle of a primitive permutation group

Let $\tau \in S_{n} $. Show that there exists $\sigma \in S_{n} $ such that $\sigma \circ \tau =\tau ^{-1}\circ \sigma$

Compute Centralizer of $G=S_{3}$ and $a=(1,2,3)$

How do I form a group of permutations and determine the multiplication table for the group?

How many permutations with a given number of disjoint cycles are there?

Conjugacy classes splitting in alternating group

Understanding a proof about the only normal subgroups of $S_5$

Let $h:S_4 \rightarrow \mathbb{Z}$ be a group homomorphism. Prove that $h(x) =0$ for all $x \in S_4$

Conjugates of a cycle $\sigma$ in $S_n$

Let $H = \{a^2 : a \in S_6\}$. Prove that $H \neq A_6$.

Permutation without fixed points.

Find irreducible representations of a reducible representation of $S_4$

Cycle notation permutations question

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