Question

Non-abelian simple groups of odd order less than $10000$.

score 334 · Answer 1 · 2021-09-04 09:46:48

334

Views

Non-abelian simple groups of odd order less than $10000$.

Published on 04 Sep 2021 - 9:46

score 309 · Answer 2 · 2021-09-12 06:56:48

309

Views

Prove that there doesn't exists a simple group of order 24 and order 48 .

Published on 12 Sep 2021 - 6:56

score 88 · Answer 3 · 2026-03-25 15:44:10

88

Views

Let $H\leq G$ where $H$ is max simple. Prove either $G$ is simple or there exists a minimal normal subgroup $N$ of $G$ such that $G/N$ is simple.

Published on 25 Mar 2026 - 15:44

score 96 · Answer 4 · 2021-09-19 12:54:09

96

Views

A question in the answer of the following question : Prove that a group of order 72 can't be a simple group

Published on 19 Sep 2021 - 12:54

score 199 · Answer 5 · 2021-09-27 11:38:59

199

Views

Prove that a group of order $540$ is not simple

Published on 27 Sep 2021 - 11:38

score 353 · Answer 6 · 2021-10-03 00:51:17

353

Views

Simplicity of O(p,q)

Published on 03 Oct 2021 - 0:51

score 52 · Answer 7 · 2021-10-06 15:43:23

52

Views

Intersection of normal subgroups and their indices exercise

Published on 06 Oct 2021 - 15:43

score 86 · Answer 8 · 2021-10-07 13:02:56

86

Views

A detail in the proof that a group of order 168 is simple

Published on 07 Oct 2021 - 13:02

score 61 · Answer 9 · 2021-10-11 01:10:07

61

Views

Show that $A$ is a simple group.

Published on 11 Oct 2021 - 1:10

score 36 · Answer 10 · 2021-10-13 07:10:49

36

Views

Let $G$ be a simple group, $|G|=n, p$ a prime such that $p|n$. If $G$ has more than $n/(p^2)$ conjugacy classes then the $p$-Sylow sub are abelian

Published on 13 Oct 2021 - 7:10

score 382 · Answer 11 · 2021-10-14 15:42:57

382

Views

Number of conjugacy classes of elements of order $7$ in a group of order 168

Published on 14 Oct 2021 - 15:42

score 116 · Answer 12 · 2026-03-26 16:06:59

116

Views

2-generated finite non-Abelian simple groups and the existence of Hamiltonian cycles in their Cayley graph

Published on 26 Mar 2026 - 16:06

score 135 · Answer 13 · 2021-11-09 08:10:10

135

Views

If $G$ is a simple group of order 168, $n_3=28$, then a Sylow 3-subgroup $T$ of $N_G (P_3)$ acts transitively on the set of Sylow 7-subgroups of $G $

Published on 09 Nov 2021 - 8:10

score 348 · Answer 14 · 2021-11-11 16:56:52

348

Views

No simple group of order $2025$

Published on 11 Nov 2021 - 16:56

score 190 · Answer 15 · 2021-11-12 03:04:52

190

Views

How is $C_4$ constructed from the simple factor groups of its decomposition series

Published on 12 Nov 2021 - 3:04

List Question

Non-abelian simple groups of odd order less than $10000$.

Prove that there doesn't exists a simple group of order 24 and order 48 .

Let $H\leq G$ where $H$ is max simple. Prove either $G$ is simple or there exists a minimal normal subgroup $N$ of $G$ such that $G/N$ is simple.

A question in the answer of the following question : Prove that a group of order 72 can't be a simple group

Prove that a group of order $540$ is not simple

Simplicity of O(p,q)

Intersection of normal subgroups and their indices exercise

A detail in the proof that a group of order 168 is simple

Show that $A$ is a simple group.

Let $G$ be a simple group, $|G|=n, p$ a prime such that $p|n$. If $G$ has more than $n/(p^2)$ conjugacy classes then the $p$-Sylow sub are abelian

Number of conjugacy classes of elements of order $7$ in a group of order 168

2-generated finite non-Abelian simple groups and the existence of Hamiltonian cycles in their Cayley graph

If $G$ is a simple group of order 168, $n_3=28$, then a Sylow 3-subgroup $T$ of $N_G (P_3)$ acts transitively on the set of Sylow 7-subgroups of $G $

No simple group of order $2025$

How is $C_4$ constructed from the simple factor groups of its decomposition series

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