List questions from simple-groups

120

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Can the fact that $\bigcap _{g\in G}gHg^{-1}\lhd G$ be used to prove that certain groups are not simple?

Published on 13 Jan 2020 - 0:00

270

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Prove that there is no simple group $G$ of order $3^3\cdot7\cdot13\cdot409$

Published on 19 Jan 2020 - 19:25

110

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Large abelian subgroups of perfect groups

Published on 20 Jan 2020 - 15:42

936

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Every finite simple group of order $n \geq 3$ is isomorphic to a subgroup of $A_n$

Published on 21 Jan 2020 - 2:43

77

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Question on proof $G$ is not simple

Published on 24 Jan 2020 - 14:21

216

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A question on characteristically simple groups

Published on 28 Jan 2020 - 1:07

39

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How to check whether a given matrix is in the image of a representation?

Published on 02 Feb 2020 - 1:05

771

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Nonexistence of a simple group of order 420

Published on 08 Feb 2020 - 12:48

55

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Centralizer of a Sylow group in the simple group of order 360

Published on 09 Feb 2020 - 12:48

555

Views

Nonexistence of a simple group of order 576

Published on 12 Feb 2020 - 12:01

1.3k

Views

A Group of order $p^n$ is not simple

Published on 15 Feb 2020 - 21:08

503

Views

Is every generator of $Z({\rm Spin}_n^{\epsilon}(q))$ a square element in finite spin group ${\rm Spin}_n^{\epsilon}(q)$?

Published on 23 Mar 2026 - 10:03

645

Views

Representations of simple nonabelian groups

Published on 13 Mar 2020 - 13:13

148

Views

A question about Lang's proof of simplicity of $A_n$

Published on 14 Mar 2020 - 22:15

138

Views

Asking the proof of maximal normal subgroup in this answer: https://math.stackexchange.com/a/161593/435467

Published on 15 Mar 2020 - 10:52

List Question

Can the fact that $\bigcap _{g\in G}gHg^{-1}\lhd G$ be used to prove that certain groups are not simple?

Prove that there is no simple group $G$ of order $3^3\cdot7\cdot13\cdot409$

Large abelian subgroups of perfect groups

Every finite simple group of order $n \geq 3$ is isomorphic to a subgroup of $A_n$

Question on proof $G$ is not simple

A question on characteristically simple groups

How to check whether a given matrix is in the image of a representation?

Nonexistence of a simple group of order 420

Centralizer of a Sylow group in the simple group of order 360

Nonexistence of a simple group of order 576

A Group of order $p^n$ is not simple

Is every generator of $Z({\rm Spin}_n^{\epsilon}(q))$ a square element in finite spin group ${\rm Spin}_n^{\epsilon}(q)$?

Representations of simple nonabelian groups

A question about Lang's proof of simplicity of $A_n$

Asking the proof of maximal normal subgroup in this answer: https://math.stackexchange.com/a/161593/435467

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