Question

Prove that $\sigma$ is a power of $\tau$ when they commute $\sigma\tau=\tau\sigma$.

score 301 · Answer 1 · 2026-04-29 12:42:28

301

Views

Prove that $\sigma$ is a power of $\tau$ when they commute $\sigma\tau=\tau\sigma$.

Published on 29 Apr 2026 - 12:42

score 350 · Answer 2 · 2026-05-02 20:09:02

350

Views

Are there any interesting examples of functions on Abelian groups that are not homomorphisms?

Published on 02 May 2026 - 20:09

score 75 · Answer 3 · 2026-04-29 12:28:51

75

Views

Jordan chevaley decomposition and cyclic vectors

Published on 29 Apr 2026 - 12:28

score 56 · Answer 4 · 2026-04-29 12:15:08

56

Views

Show that if $a_1,\ldots,a_n$ are elements of a group then $(a_1\cdots a_n)^{-1} =a_n^{-1} \cdots a_1^{-1}$

Published on 29 Apr 2026 - 12:15

score 52 · Answer 5 · 2026-04-29 12:48:33

52

Views

Comparing centers of group and a subgroup

Published on 29 Apr 2026 - 12:48

score 219 · Answer 6 · 2026-04-09 07:57:23

219

Views

EPIC sets in group theory

Published on 09 Apr 2026 - 7:57

score 1.3k · Answer 7 · 2026-05-10 13:53:41

1.3k

Views

Basic problems on Group Theory

Published on 10 May 2026 - 13:53

score 972 · Answer 8 · 2026-05-03 17:36:41

972

Views

How to compute group cohomology $H^2_\sigma(\mathbb{Z}\times \mathbb{Z}, \mathbb{Z}_2\times \mathbb{Z}_2)$ with nontrivial $G$-module

Published on 03 May 2026 - 17:36

score 72 · Answer 9 · 2026-05-10 08:26:57

72

Views

How to arrange $p-1$ non-zero elements into $A$ groups of $B$ where $p$ is a prime number

Published on 10 May 2026 - 8:26

score 66 · Answer 10 · 2026-04-10 06:30:13

66

Views

Show bijectivity of simple map

Published on 10 Apr 2026 - 6:30

score 939 · Answer 11 · 2026-05-05 15:28:34

939

Views

Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

Published on 05 May 2026 - 15:28

score 364 · Answer 12 · 2026-04-17 19:53:15

364

Views

Relation between profinite abelian groups and $\hat{\Bbb{Z}}$ modules

Published on 17 Apr 2026 - 19:53

score 65 · Answer 13 · 2026-05-03 08:56:31

65

Views

How to embed $F_q^\times $ in $S_n$?

Published on 03 May 2026 - 8:56

score 770 · Answer 14 · 2026-05-10 12:39:27

770

Views

Show that the group $G$ is Abelian if and only if every irreducible character of $G$ is linear.

Published on 10 May 2026 - 12:39

score 205 · Answer 15 · 2026-04-26 23:59:11

205

Views

Is the order of integers mod p under multiplication output of Carmichael's function?

Published on 26 Apr 2026 - 23:59

List Question

Prove that $\sigma$ is a power of $\tau$ when they commute $\sigma\tau=\tau\sigma$.

Are there any interesting examples of functions on Abelian groups that are not homomorphisms?

Jordan chevaley decomposition and cyclic vectors

Show that if $a_1,\ldots,a_n$ are elements of a group then $(a_1\cdots a_n)^{-1} =a_n^{-1} \cdots a_1^{-1}$

Comparing centers of group and a subgroup

EPIC sets in group theory

Basic problems on Group Theory

How to compute group cohomology $H^2_\sigma(\mathbb{Z}\times \mathbb{Z}, \mathbb{Z}_2\times \mathbb{Z}_2)$ with nontrivial $G$-module

How to arrange $p-1$ non-zero elements into $A$ groups of $B$ where $p$ is a prime number

Show bijectivity of simple map

Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

Relation between profinite abelian groups and $\hat{\Bbb{Z}}$ modules

How to embed $F_q^\times $ in $S_n$?

Show that the group $G$ is Abelian if and only if every irreducible character of $G$ is linear.

Is the order of integers mod p under multiplication output of Carmichael's function?

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