List questions from simple-groups

Published on 03 Jun 2017 - 16:51

142

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Group of order $5p^aq^b$

Published on 05 Jun 2017 - 22:50

32

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$G=\langle S|R\rangle$ is finitely presented simple, then if $w\neq e$ in $G$, $\langle\langle w\cup R \rangle\rangle = F(S)$

Published on 09 Jun 2017 - 22:28

194

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Simple groups from Orthogonal groups

Published on 29 Jun 2017 - 10:57

95

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Inverse Galois Problem: the two-fold central extension of $Sp_6(\mathbb F_2) \cong [W(E_7),W(E_7)]$

Published on 25 Mar 2026 - 4:40

66

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Rigidity Criterion (Thompson/Belyi/Matzat).

Published on 03 Aug 2017 - 20:19

217

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Outer automorphism group of a quasisimple group

Published on 04 Aug 2017 - 4:19

692

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The socle of an almost simple group

Published on 23 Feb 2026 - 7:43

460

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If G is simple and non-abelian, then $\hat{G}$ has only one element?

Published on 09 Aug 2017 - 13:46

65

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About simple groups and Hall subgroups.

Published on 01 Sep 2017 - 14:11

96

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Prove that $K=\{e\}$

Published on 17 Sep 2017 - 17:52

697

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Show that a finite group of even order that has a cyclic Sylow $2-$ subgroup is not simple.

Published on 17 Sep 2017 - 18:03

406

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The index of every proper subgroup of a simple group containing an order 22 element

Published on 25 Sep 2017 - 2:11

359

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Consequences of the Classification of Finite Simple Groups

Published on 29 Oct 2017 - 13:07

55

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Consequences of using simple groups as building blocks of finite groups.

Published on 31 Oct 2017 - 0:09

List Question

Minimal number of 3-cycles that generates $A_n$

Group of order $5p^aq^b$

$G=\langle S|R\rangle$ is finitely presented simple, then if $w\neq e$ in $G$, $\langle\langle w\cup R \rangle\rangle = F(S)$

Simple groups from Orthogonal groups

Inverse Galois Problem: the two-fold central extension of $Sp_6(\mathbb F_2) \cong [W(E_7),W(E_7)]$

Rigidity Criterion (Thompson/Belyi/Matzat).

Outer automorphism group of a quasisimple group

The socle of an almost simple group

If G is simple and non-abelian, then $\hat{G}$ has only one element?

About simple groups and Hall subgroups.

Prove that $K=\{e\}$

Show that a finite group of even order that has a cyclic Sylow $2-$ subgroup is not simple.

The index of every proper subgroup of a simple group containing an order 22 element

Consequences of the Classification of Finite Simple Groups

Consequences of using simple groups as building blocks of finite groups.

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