Question

Sidon sets in finite groups

score 135 · Answer 1 · 2026-04-09 15:20:45

135

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Sidon sets in finite groups

Published on 09 Apr 2026 - 15:20

score 71 · Answer 2 · 2019-11-17 10:34:39

71

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A Theorem from Jacobson: $U^G\otimes_F V\cong (U\otimes_F V_H)^G$

Published on 17 Nov 2019 - 10:34

score 63 · Answer 3 · 2026-03-29 16:54:26

63

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All proper subgroups cyclic

Published on 29 Mar 2026 - 16:54

score 37 · Answer 4 · 2019-11-18 14:38:43

37

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Can all finite groups be distinguished either by their order, or by number of their subgroups?

Published on 18 Nov 2019 - 14:38

score 43 · Answer 5 · 2026-04-11 05:24:38

43

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Show that any commutative group of finite order is finitely generated $\mathbb{Z} $-module .

Published on 11 Apr 2026 - 5:24

score 37 · Answer 6 · 2026-03-25 16:00:13

37

Views

Is it always true, that $s(G) \geq \tau(|G|)$?

Published on 25 Mar 2026 - 16:00

score 381 · Answer 7 · 2019-11-18 21:44:45

381

Views

Proof that $\Phi(G) \le N$ implies $\Phi(G) \le \Phi(N)$ for normal subgroup $N \unlhd G$

Published on 18 Nov 2019 - 21:44

score 324 · Answer 8 · 2026-04-07 09:29:52

324

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If a group $G$ has no normal solvable subgroup then it can be written as internal direct product of its simple normal subgroups. .

Published on 07 Apr 2026 - 9:29

score 184 · Answer 9 · 2026-03-25 22:04:59

184

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If G is a solvable group whose partially ordered set of subgroups satisfies both the ascending and descending chain conditions, then G is finite.

Published on 25 Mar 2026 - 22:04

score 67 · Answer 10 · 2026-03-29 11:46:16

67

Views

Under what assumptions will $M \unlhd G$? ($M$ maximal)

Published on 29 Mar 2026 - 11:46

score 50 · Answer 11 · 2026-04-10 10:35:11

50

Views

Is this fact needed in the proof regarding division rings?

Published on 10 Apr 2026 - 10:35

score 61 · Answer 12 · 2026-03-27 21:36:25

61

Views

Probs 4 & 5, Sec 13, in Fraleigh's A FIRST COURSE IN ABSTRACT ALGEBRA, 7th ed: This map of $\mathbb{Z}_m$ to $\mathbb{Z}_n$ is a homomorphism iff ...?

Published on 27 Mar 2026 - 21:36

score 167 · Answer 13 · 2019-11-21 09:35:42

167

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Is SL$(n,\mathbb{F})$ simple group and non abelian tensor square of GL$(n,\mathbb{F})$.

Published on 21 Nov 2019 - 9:35

score 259 · Answer 14 · 2026-03-28 13:21:23

259

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$G$ of prime order can't embed into symmetric groups of degree smaller than $|G|$. Proof verification.

Published on 28 Mar 2026 - 13:21

score 386 · Answer 15 · 2026-04-11 05:57:03

386

Views

Presentation of SL$(n,\mathbb{Z}_p)$

Published on 11 Apr 2026 - 5:57

List Question

Sidon sets in finite groups

A Theorem from Jacobson: $U^G\otimes_F V\cong (U\otimes_F V_H)^G$

All proper subgroups cyclic

Can all finite groups be distinguished either by their order, or by number of their subgroups?

Show that any commutative group of finite order is finitely generated $\mathbb{Z} $-module .

Is it always true, that $s(G) \geq \tau(|G|)$?

Proof that $\Phi(G) \le N$ implies $\Phi(G) \le \Phi(N)$ for normal subgroup $N \unlhd G$

If a group $G$ has no normal solvable subgroup then it can be written as internal direct product of its simple normal subgroups. .

If G is a solvable group whose partially ordered set of subgroups satisfies both the ascending and descending chain conditions, then G is finite.

Under what assumptions will $M \unlhd G$? ($M$ maximal)

Is this fact needed in the proof regarding division rings?

Probs 4 & 5, Sec 13, in Fraleigh's A FIRST COURSE IN ABSTRACT ALGEBRA, 7th ed: This map of $\mathbb{Z}_m$ to $\mathbb{Z}_n$ is a homomorphism iff ...?

Is SL$(n,\mathbb{F})$ simple group and non abelian tensor square of GL$(n,\mathbb{F})$.

$G$ of prime order can't embed into symmetric groups of degree smaller than $|G|$. Proof verification.

Presentation of SL$(n,\mathbb{Z}_p)$

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