Question

Commutator subgroup of $\mathbb{Z}_{p^2} \rtimes_{\varphi} \mathbb{Z}_q$ with $p,q$ distinct primes

score 81 · Answer 1 · 2026-03-25 03:03:04

81

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Commutator subgroup of $\mathbb{Z}_{p^2} \rtimes_{\varphi} \mathbb{Z}_q$ with $p,q$ distinct primes

Published on 25 Mar 2026 - 3:03

score 78 · Answer 2 · 2026-03-26 23:09:22

78

Views

Cyclic subgroups of same order of a non cyclic group

Published on 26 Mar 2026 - 23:09

score 38 · Answer 3 · 2018-08-28 08:15:04

38

Views

whether a given condition in a theorem is satisfied in general

Published on 28 Aug 2018 - 8:15

score 119 · Answer 4 · 2026-03-27 03:21:52

119

Views

Direct and semidirect products in GAP

Published on 27 Mar 2026 - 3:21

score 266 · Answer 5 · 2026-03-25 00:06:36

266

Views

For odd primes $p$, are finite groups with self-normalizing Sylow $p$-subgroups solvable?

Published on 25 Mar 2026 - 0:06

score 176 · Answer 6 · 2018-08-30 01:42:02

176

Views

Applicable Group Problem Involving Modular Arithmetic

Published on 30 Aug 2018 - 1:42

score 163 · Answer 7 · 2018-08-30 09:09:00

163

Views

An infinite group which has only one automorphism

Published on 30 Aug 2018 - 9:09

score 47 · Answer 8 · 2026-03-26 19:37:48

47

Views

on derived group of two cyclic subgroups

Published on 26 Mar 2026 - 19:37

score 587 · Answer 9 · 2018-09-01 23:52:33

587

Views

Prove that every matrix in $GL_2(\mathbb{R})$ is a product of at most 4 elementary matrices.

Published on 01 Sep 2018 - 23:52

score 58 · Answer 10 · 2026-03-25 19:12:09

58

Views

Field of discrete logarithms of a generator of a finite group

Published on 25 Mar 2026 - 19:12

score 145 · Answer 11 · 2018-09-02 21:01:15

145

Views

How to obtain the automorphism group of $D_2$?

Published on 02 Sep 2018 - 21:01

score 135 · Answer 12 · 2026-03-25 06:04:51

135

Views

Sharpness of the constant $1/6$ in Cancellation Theorem.

Published on 25 Mar 2026 - 6:04

score 291 · Answer 13 · 2026-03-25 22:10:29

291

Views

Does every finite non-trivial complete group have even order?

Published on 25 Mar 2026 - 22:10

score 317 · Answer 14 · 2026-03-25 07:38:57

317

Views

Inverse Galois problem

Published on 25 Mar 2026 - 7:38

score 3.3k · Answer 15 · 2018-09-06 17:01:32

3.3k

Views

Show that a finite cyclic group of order $n$ has exactly one subgroup of order $d$ dividing $n$ and these are all the subgroups it has

Published on 06 Sep 2018 - 17:01

List Question

Commutator subgroup of $\mathbb{Z}_{p^2} \rtimes_{\varphi} \mathbb{Z}_q$ with $p,q$ distinct primes

Cyclic subgroups of same order of a non cyclic group

whether a given condition in a theorem is satisfied in general

Direct and semidirect products in GAP

For odd primes $p$, are finite groups with self-normalizing Sylow $p$-subgroups solvable?

Applicable Group Problem Involving Modular Arithmetic

An infinite group which has only one automorphism

on derived group of two cyclic subgroups

Prove that every matrix in $GL_2(\mathbb{R})$ is a product of at most 4 elementary matrices.

Field of discrete logarithms of a generator of a finite group

How to obtain the automorphism group of $D_2$?

Sharpness of the constant $1/6$ in Cancellation Theorem.

Does every finite non-trivial complete group have even order?

Inverse Galois problem

Show that a finite cyclic group of order $n$ has exactly one subgroup of order $d$ dividing $n$ and these are all the subgroups it has

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