List questions from simple-groups

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A finite non abelian simple group is generated by two elements

Published on 18 Jan 2017 - 19:48

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$A_{5}$ is a simple group?

Published on 29 Jan 2017 - 1:00

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Hint on an exercise of Mathieu groups

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Is $PSL_2(p)$ the smallest non-abelian simple group with order divisible by prime $p \ge 5$?

Published on 01 Feb 2017 - 21:07

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Is a group of order 2017 simple?

Published on 10 Feb 2017 - 23:13

119

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Is a group of order 1280 simple or not?

Published on 10 Feb 2017 - 23:34

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Proof that $G$, a simple group is isomorphic to a subgroup of ${S_X}$

Published on 13 Feb 2017 - 15:16

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Confused about the definition of $M_{24}$, the largest Mathieu Group

Published on 23 Feb 2017 - 21:51

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Two classes of subgroups of order 24 in a simple group of order 168

Published on 17 Mar 2017 - 10:38

111

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Is a finite simple group generated by its minimal subgroups?

Published on 23 Mar 2017 - 23:27

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$A_n$ is simple for $n \ge 5$.

Published on 27 Mar 2017 - 7:27

322

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Possible chief factors of a group of order 336

Published on 31 Mar 2017 - 11:08

268

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Proving a group is simple given that potential normal subgroups have order $2$ and $4$

Published on 05 Apr 2017 - 19:31

184

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Prove that $A_5$ is simple.

Published on 12 Feb 2023 - 13:16

List Question

A "functional" definition of simple group?

A finite non abelian simple group is generated by two elements

$A_{5}$ is a simple group?

Hint on an exercise of Mathieu groups

Is $PSL_2(p)$ the smallest non-abelian simple group with order divisible by prime $p \ge 5$?

Is a group of order 2017 simple?

Is a group of order 1280 simple or not?

Proof that $G$, a simple group is isomorphic to a subgroup of ${S_X}$

Confused about the definition of $M_{24}$, the largest Mathieu Group

Two classes of subgroups of order 24 in a simple group of order 168

Is a finite simple group generated by its minimal subgroups?

$A_n$ is simple for $n \ge 5$.

Possible chief factors of a group of order 336

Proving a group is simple given that potential normal subgroups have order $2$ and $4$

Prove that $A_5$ is simple.

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