Question

Why $\mathbb{Z_{12}}$ is subgroup of $S_{7}$?

score 101 · Answer 1 · 2022-02-04 03:13:17

101

Views

Why $\mathbb{Z_{12}}$ is subgroup of $S_{7}$?

Published on 04 Feb 2022 - 3:13

score 31 · Answer 2 · 2022-02-04 15:58:24

31

Views

Finding the conjugacy classes of $\{ (x,y) \in S_n\times S_n : x\equiv y \bmod A_n \}$

Published on 04 Feb 2022 - 15:58

score 336 · Answer 3 · 2026-03-29 21:14:49

336

Views

Decomposition of the regular representation of $S_3$ into irreducible ones.

Published on 29 Mar 2026 - 21:14

score 46 · Answer 4 · 2026-03-28 03:56:13

46

Views

Find $k>0$ such that two permutations conjugate and are different from the identity permutation

Published on 28 Mar 2026 - 3:56

score 63 · Answer 5 · 2026-03-30 10:39:13

63

Views

Eigenvalue argument to determine 5-dimensional irreducible representation of S5.

Published on 30 Mar 2026 - 10:39

score 126 · Answer 6 · 2026-03-30 10:36:46

126

Views

Characters of complex $S_5$-representation

Published on 30 Mar 2026 - 10:36

score 64 · Answer 7 · 2026-03-31 12:40:00

64

Views

Seven Wallpaper Patterns. Or Frieze Patterns.

Published on 31 Mar 2026 - 12:40

score 56 · Answer 8 · 2026-03-28 10:04:28

56

Views

conjugacy class preserving deformation of symmetric group

Published on 28 Mar 2026 - 10:04

score 260 · Answer 9 · 2022-02-16 11:37:40

260

Views

How to show this 2d reprensentation of S3 is a representation and irreducible?

Published on 16 Feb 2022 - 11:37

score 32 · Answer 10 · 2022-02-18 15:09:43

32

Views

Is $A_6$ characteristic in $S_6$?

Published on 18 Feb 2022 - 15:09

score 87 · Answer 11 · 2022-02-20 04:39:14

87

Views

Show that the subgroup $\langle\tau\rangle=\{\tau^n | n \in \mathbb{Z}\}$ is normal in $S_3$.

Published on 20 Feb 2022 - 4:39

score 221 · Answer 12 · 2026-03-28 03:55:26

221

Views

How do I show that any cycle of length $n$ can be rewritten as a product of $n-1$ transpositions $(1 \; \; 2),(2 \; \; 3),...,(n-1 \; \; n)$?

Published on 28 Mar 2026 - 3:55

score 101 · Answer 13 · 2022-02-20 19:54:32

101

Views

The outcome of part of Exercise 7.1.4 of one of Robinson's books.

Published on 20 Feb 2022 - 19:54

score 252 · Answer 14 · 2022-02-21 18:01:29

252

Views

Is the $n$-cycles factorization in $S_n$ as product of $n-1$ transpositions unique?

Published on 21 Feb 2022 - 18:01

score 166 · Answer 15 · 2026-03-31 12:48:23

166

Views

What exactly is rigid body motion and symmetry in abstract algebra in terms of function?

Published on 31 Mar 2026 - 12:48

List Question

Why $\mathbb{Z_{12}}$ is subgroup of $S_{7}$?

Finding the conjugacy classes of $\{ (x,y) \in S_n\times S_n : x\equiv y \bmod A_n \}$

Decomposition of the regular representation of $S_3$ into irreducible ones.

Find $k>0$ such that two permutations conjugate and are different from the identity permutation

Eigenvalue argument to determine 5-dimensional irreducible representation of S5.

Characters of complex $S_5$-representation

Seven Wallpaper Patterns. Or Frieze Patterns.

conjugacy class preserving deformation of symmetric group

How to show this 2d reprensentation of S3 is a representation and irreducible?

Is $A_6$ characteristic in $S_6$?

Show that the subgroup $\langle\tau\rangle=\{\tau^n | n \in \mathbb{Z}\}$ is normal in $S_3$.

How do I show that any cycle of length $n$ can be rewritten as a product of $n-1$ transpositions $(1 \; \; 2),(2 \; \; 3),...,(n-1 \; \; n)$?

The outcome of part of Exercise 7.1.4 of one of Robinson's books.

Is the $n$-cycles factorization in $S_n$ as product of $n-1$ transpositions unique?

What exactly is rigid body motion and symmetry in abstract algebra in terms of function?

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