Question

Linear independence over $\Bbb Z$ to prove an abstract algebra problem

score 134 · Answer 1 · 2022-08-27 21:53:50

134

Views

Linear independence over $\Bbb Z$ to prove an abstract algebra problem

Published on 27 Aug 2022 - 21:53

score 81 · Answer 2 · 2022-08-28 03:33:44

81

Views

Determine if this is a left group action

Published on 28 Aug 2022 - 3:33

score 192 · Answer 3 · 2026-04-01 13:04:36

192

Views

Do "equi-homomorphic" group elements lie in the same orbit?

Published on 01 Apr 2026 - 13:04

score 212 · Answer 4 · 2022-08-31 10:23:50

212

Views

Find all group homomorphisms $f: \Bbb Z_6 \to S_3$.

Published on 31 Aug 2022 - 10:23

score 78 · Answer 5 · 2022-09-01 14:36:03

78

Views

Let $G$ be a finite group with prime order $p$ and $H$ a finite group of prime order $q$. How many homomorphisms $f: G \to H$ are there?

Published on 01 Sep 2022 - 14:36

score 248 · Answer 6 · 2022-09-03 08:54:24

248

Views

How many homomorphism are there of the form $S_n \to \mathbb{Z_2},n\geq 5$?

Published on 03 Sep 2022 - 8:54

score 51 · Answer 7 · 2022-09-04 22:04:15

51

Views

Well defined Lie group homomorphism

Published on 04 Sep 2022 - 22:04

score 420 · Answer 8 · 2022-09-06 20:17:56

420

Views

Fundamental group of Möbius strip using Van Kampen

Published on 06 Sep 2022 - 20:17

score 35 · Answer 9 · 2022-09-09 16:55:38

35

Views

Quick question about the post: $G=N \times K$, $M$ normal subgroup of $N$ implies $M$ normal subgroup of $G$

Published on 09 Sep 2022 - 16:55

score 205 · Answer 10 · 2026-03-29 05:44:11

205

Views

Let $H,K\le G$, abelian $G$, and let $\phi:G\to H$ be a hom. s.t. 1) $\phi(h)=h\forall h\in H$, 2) $\text{Ker }\phi=K$. Show $G=H\oplus K$

Published on 29 Mar 2026 - 5:44

score 91 · Answer 11 · 2022-09-14 21:20:04

91

Views

How to determine the number of homomorphisms of a group G in $Z_m$?

Published on 14 Sep 2022 - 21:20

score 526 · Answer 12 · 2026-03-25 15:47:22

526

Views

An "easy" way to construct an epimorphism from S4 to S3

Published on 25 Mar 2026 - 15:47

score 95 · Answer 13 · 2022-09-17 15:00:44

95

Views

If $x\mapsto x^{-1}$ is a group morphism, then $x\mapsto x^2$ is a group morphism

Published on 17 Sep 2022 - 15:00

score 34 · Answer 14 · 2026-04-02 04:40:03

34

Views

Question 10.1.6 (A course in the theory of groups, Robinson D.)

Published on 02 Apr 2026 - 4:40

score 52 · Answer 15 · 2022-09-19 08:29:38

52

Views

Need help with a linear-algebra based proof for maximum transpositions in $S_n$

Published on 19 Sep 2022 - 8:29

List Question

Linear independence over $\Bbb Z$ to prove an abstract algebra problem

Determine if this is a left group action

Do "equi-homomorphic" group elements lie in the same orbit?

Find all group homomorphisms $f: \Bbb Z_6 \to S_3$.

Let $G$ be a finite group with prime order $p$ and $H$ a finite group of prime order $q$. How many homomorphisms $f: G \to H$ are there?

How many homomorphism are there of the form $S_n \to \mathbb{Z_2},n\geq 5$?

Well defined Lie group homomorphism

Fundamental group of Möbius strip using Van Kampen

Quick question about the post: $G=N \times K$, $M$ normal subgroup of $N$ implies $M$ normal subgroup of $G$

Let $H,K\le G$, abelian $G$, and let $\phi:G\to H$ be a hom. s.t. 1) $\phi(h)=h\forall h\in H$, 2) $\text{Ker }\phi=K$. Show $G=H\oplus K$

How to determine the number of homomorphisms of a group G in $Z_m$?

An "easy" way to construct an epimorphism from S4 to S3

If $x\mapsto x^{-1}$ is a group morphism, then $x\mapsto x^2$ is a group morphism

Question 10.1.6 (A course in the theory of groups, Robinson D.)

Need help with a linear-algebra based proof for maximum transpositions in $S_n$

Trending Questions

Popular # Hahtags

Popular Questions