Question

group of order $p^nq^m$ is solvable

score 404 · Answer 1 · 2026-03-26 02:55:38

404

Views

group of order $p^nq^m$ is solvable

Published on 26 Mar 2026 - 2:55

score 76 · Answer 2 · 2026-03-30 10:39:12

76

Views

Group element that normalizes finite subgroup that is generated by a subset of $G$

Published on 30 Mar 2026 - 10:39

score 19 · Answer 3 · 2026-04-09 06:42:29

19

Views

Is a certain square root of $-1$ an element of $\Omega_{4l}^+(q)$?

Published on 09 Apr 2026 - 6:42

score 60 · Answer 4 · 2026-04-09 02:43:35

60

Views

Proof of $_()∩=1$,$$ is a holomorph, $$ automorphism group

Published on 09 Apr 2026 - 2:43

score 64 · Answer 5 · 2026-04-01 20:36:42

64

Views

Let $ba=a^4b^3$, show that $\mathrm{ord}(a^4b)=\mathrm{ord}(a^2b^3)$

Published on 01 Apr 2026 - 20:36

score 210 · Answer 6 · 2026-03-25 22:26:48

210

Views

How to prove the number of the elements of order $p$ in a group of order $p^4$ is ${p^3}-1$

Published on 25 Mar 2026 - 22:26

score 49 · Answer 7 · 2026-04-01 20:38:09

49

Views

Bound on the size of a subset of a group give that there's an element $a$ such that $(xa)^3=1$ for all $x \in H$ (subgroup)

Published on 01 Apr 2026 - 20:38

score 75 · Answer 8 · 2026-04-12 00:18:34

75

Views

Natural transformation between group and characters group when restricting to isomorphisms

Published on 12 Apr 2026 - 0:18

score 715 · Answer 9 · 2026-03-28 08:37:15

715

Views

All non abelian groups of order $56$, when $\mathbb Z_7\triangleleft G$

Published on 28 Mar 2026 - 8:37

score 28 · Answer 10 · 2026-03-28 08:40:52

28

Views

Finding the relationship given by the generating elements of a non-abelian group (for a maximum case)

Published on 28 Mar 2026 - 8:40

score 90 · Answer 11 · 2026-03-26 03:00:32

90

Views

Groups generated by a binary operation on a set that contains one member of each conjugacy

Published on 26 Mar 2026 - 3:00

score 225 · Answer 12 · 2026-04-12 07:58:41

225

Views

Invariance of a bilinear (in generators) under a subgroup of a Lie group

Published on 12 Apr 2026 - 7:58

score 176 · Answer 13 · 2026-03-28 08:35:39

176

Views

Split extension of finite group and Sylow subgroup by $p$-group

Published on 28 Mar 2026 - 8:35

score 154 · Answer 14 · 2026-03-28 07:57:16

154

Views

Group of order $1+2+3+ \cdots + n$ with class equation $1+2+3+ \cdots + n$

Published on 28 Mar 2026 - 7:57

score 856 · Answer 15 · 2026-03-28 07:53:36

856

Views

Assume $|G|=40$. Show that the subgroup of order $8$ is normal and unique.

Published on 28 Mar 2026 - 7:53

List Question

group of order $p^nq^m$ is solvable

Group element that normalizes finite subgroup that is generated by a subset of $G$

Is a certain square root of $-1$ an element of $\Omega_{4l}^+(q)$?

Proof of $_()∩=1$,$$ is a holomorph, $$ automorphism group

Let $ba=a^4b^3$, show that $\mathrm{ord}(a^4b)=\mathrm{ord}(a^2b^3)$

How to prove the number of the elements of order $p$ in a group of order $p^4$ is ${p^3}-1$

Bound on the size of a subset of a group give that there's an element $a$ such that $(xa)^3=1$ for all $x \in H$ (subgroup)

Natural transformation between group and characters group when restricting to isomorphisms

All non abelian groups of order $56$, when $\mathbb Z_7\triangleleft G$

Finding the relationship given by the generating elements of a non-abelian group (for a maximum case)

Groups generated by a binary operation on a set that contains one member of each conjugacy

Invariance of a bilinear (in generators) under a subgroup of a Lie group

Split extension of finite group and Sylow subgroup by $p$-group

Group of order $1+2+3+ \cdots + n$ with class equation $1+2+3+ \cdots + n$

Assume $|G|=40$. Show that the subgroup of order $8$ is normal and unique.

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