Question

Simple group of order $1092 =2^2\cdot 3\cdot 7\cdot 13$ has a single conjugacy class of subgroups of index $14$, but no subgroup of index $13$

score 139 · Answer 1 · 2021-06-29 17:07:22

139

Views

Simple group of order $1092 =2^2\cdot 3\cdot 7\cdot 13$ has a single conjugacy class of subgroups of index $14$, but no subgroup of index $13$

Published on 29 Jun 2021 - 17:07

score 331 · Answer 2 · 2021-06-29 23:59:56

331

Views

There are no nonabelian simple groups with order smaller than $60$

Published on 29 Jun 2021 - 23:59

score 341 · Answer 3 · 2026-02-23 11:28:42

341

Views

Tarski Monsters are not amenable

Published on 23 Feb 2026 - 11:28

score 71 · Answer 4 · 2021-07-13 17:59:02

71

Views

Permutation Group of Order $7920$ and Degree $11$ (Isaacs 8C.2)

Published on 13 Jul 2021 - 17:59

score 146 · Answer 5 · 2021-07-25 13:30:40

146

Views

Understanding a proof that $|G|=pq,(p<q) \Rightarrow G$ is not simple.

Published on 25 Jul 2021 - 13:30

score 118 · Answer 6 · 2021-07-31 22:40:15

118

Views

Is the Monster Group the largest finite simple group only divisible by supersingular primes?

Published on 31 Jul 2021 - 22:40

score 45 · Answer 7 · 2021-08-11 17:39:45

45

Views

There exists $k_0$ such that there are no simple group of order $p^kn$ for $k \geq k_0$

Published on 11 Aug 2021 - 17:39

score 68 · Answer 8 · 2021-08-14 00:06:30

68

Views

Any group of order $5^2q^m$ is not simple if both $q$ is a prime and $m$ a positive integer such that $5^2\nmid q^m!$

Published on 14 Aug 2021 - 0:06

score 127 · Answer 9 · 2021-08-22 23:03:41

127

Views

No Simple Group of Order 1080

Published on 22 Aug 2021 - 23:03

score 566 · Answer 10 · 2021-08-23 23:26:57

566

Views

A question on a proof that $A_5$ has no subgroup of order $20$

Published on 23 Aug 2021 - 23:26

score 314 · Answer 11 · 2021-08-29 14:05:14

314

Views

Proof that the monster group is simple.

Published on 29 Aug 2021 - 14:05

score 158 · Answer 12 · 2026-03-25 15:47:27

158

Views

Isaacs Algebra : A Graduate Course definition for diagonal subgroup

Published on 25 Mar 2026 - 15:47

score 684 · Answer 13 · 2021-09-02 07:17:29

684

Views

$N$ is a simple normal subgroup of a group $G$ and $G/N$ has a composition series...

Published on 02 Sep 2021 - 7:17

score 330 · Answer 14 · 2021-09-02 13:10:22

330

Views

Simple group of order $60$ is isomorphic to $A_5$

Published on 02 Sep 2021 - 13:10

score 36 · Answer 15 · 2021-09-02 18:07:52

36

Views

Are there any nonabelian simple groups of order 60?

Published on 02 Sep 2021 - 18:07

List Question

Simple group of order $1092 =2^2\cdot 3\cdot 7\cdot 13$ has a single conjugacy class of subgroups of index $14$, but no subgroup of index $13$

There are no nonabelian simple groups with order smaller than $60$

Tarski Monsters are not amenable

Permutation Group of Order $7920$ and Degree $11$ (Isaacs 8C.2)

Understanding a proof that $|G|=pq,(p<q) \Rightarrow G$ is not simple.

Is the Monster Group the largest finite simple group only divisible by supersingular primes?

There exists $k_0$ such that there are no simple group of order $p^kn$ for $k \geq k_0$

Any group of order $5^2q^m$ is not simple if both $q$ is a prime and $m$ a positive integer such that $5^2\nmid q^m!$

No Simple Group of Order 1080

A question on a proof that $A_5$ has no subgroup of order $20$

Proof that the monster group is simple.

Isaacs Algebra : A Graduate Course definition for diagonal subgroup

$N$ is a simple normal subgroup of a group $G$ and $G/N$ has a composition series...

Simple group of order $60$ is isomorphic to $A_5$

Are there any nonabelian simple groups of order 60?

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