List questions from simple-groups

Published on 03 Jul 2019 - 16:46

67

Views

$\operatorname{Aut}(G)=S$ is non-abelian simple with $\operatorname{Out}(S)>1$.

Published on 03 Jul 2019 - 19:42

86

Views

Is every $2$-generated simple group $\frac{3}{2}$-generated?

Published on 06 Jul 2019 - 15:08

199

Views

Transitivity of $\Omega$ in subspace actions

Published on 22 Mar 2026 - 10:17

459

Views

There is no simple group of order 528

Published on 05 Aug 2019 - 15:43

71

Views

Elements in non-Abelian simple Groups.

Published on 15 Aug 2019 - 2:19

113

Views

Are free groups residually simple?

Published on 03 Sep 2019 - 19:31

63

Views

Suzuki and solvability of finite groups

Published on 16 Sep 2019 - 3:41

212

Views

Confusion about step in a proof that no group of order $120$ is simple

Published on 17 Sep 2019 - 20:05

401

Views

Which groups can be proven to be simple using Iwasawa criterion?

Published on 21 Sep 2019 - 7:36

282

Views

A group of order pq

Published on 24 Sep 2019 - 17:44

669

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Exercise about simple group of order 60

Published on 25 Sep 2019 - 22:09

641

Views

Is $G=HK$ if $G/H$ and $G/K$ are simple groups, where $H$ and $K$ are distinct normal subgroups of $G$?

Published on 29 Sep 2019 - 20:09

295

Views

If $G$ is finite simple and $H \le G$ has index $2m$, then an involution of $G$ is conjugate to one in $H$

Published on 13 Mar 2014 - 0:29

55

Views

Is there a simple group and a proper subgroup with a unique and equidistant intermediate?

Published on 23 Mar 2014 - 8:19

List Question

Show that $PSL(2,2)$ and $PSL(2,3)$ are not simple groups.

$\operatorname{Aut}(G)=S$ is non-abelian simple with $\operatorname{Out}(S)>1$.

Is every $2$-generated simple group $\frac{3}{2}$-generated?

Transitivity of $\Omega$ in subspace actions

There is no simple group of order 528

Elements in non-Abelian simple Groups.

Are free groups residually simple?

Suzuki and solvability of finite groups

Confusion about step in a proof that no group of order $120$ is simple

Which groups can be proven to be simple using Iwasawa criterion?

A group of order pq

Exercise about simple group of order 60

Is $G=HK$ if $G/H$ and $G/K$ are simple groups, where $H$ and $K$ are distinct normal subgroups of $G$?

If $G$ is finite simple and $H \le G$ has index $2m$, then an involution of $G$ is conjugate to one in $H$

Is there a simple group and a proper subgroup with a unique and equidistant intermediate?

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