List questions from simple-groups

Published on 22 Mar 2026 - 11:15

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Minimal degree representation of finite simple groups

Published on 22 Mar 2026 - 17:53

55

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Prove a group of order $p(p+q)$ is not simple for primes $p$ and $q$ where $ p \geq q$.

Published on 08 Jun 2018 - 23:16

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How to prove that a finite group of order $280$ is not simple?

Published on 17 Jun 2018 - 20:17

96

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How to show that the intersection of 2 distinct p-Sylows (p prime) is the identity?

Published on 17 Jun 2018 - 22:13

148

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How to prove that there is no simple group of order 10 000 000?

Published on 18 Jun 2018 - 10:37

196

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A finite simple group with subgroup for every divisor of $|G|$ is abelian

Published on 19 Jun 2018 - 4:39

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Show that every group of order $5865$ is cyclic

Published on 22 Mar 2026 - 20:34

605

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$A_6$ does not have a subgroup of order $120$

Published on 22 Mar 2026 - 14:02

879

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Prove that there is no simple group of order $144$

Published on 25 Jun 2018 - 20:53

142

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Could every finite simple group be related to a pair of Lie Groups?

Published on 22 Mar 2026 - 11:04

102

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Simple groups in group theory 2

Published on 21 Mar 2026 - 23:46

965

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A finite group of even order, whose $2$-Sylow subgroups are cyclic, is not simple.

Published on 10 Aug 2018 - 22:12

849

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Can one prove that a group of order 150 is not simple using element counting?

Published on 13 Aug 2018 - 11:08

265

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For odd primes $p$, are finite groups with self-normalizing Sylow $p$-subgroups solvable?

Published on 29 Aug 2018 - 16:20

List Question

Groups for which all normal subgroups are perfect

Minimal degree representation of finite simple groups

Prove a group of order $p(p+q)$ is not simple for primes $p$ and $q$ where $ p \geq q$.

How to prove that a finite group of order $280$ is not simple?

How to show that the intersection of 2 distinct p-Sylows (p prime) is the identity?

How to prove that there is no simple group of order 10 000 000?

A finite simple group with subgroup for every divisor of $|G|$ is abelian

Show that every group of order $5865$ is cyclic

$A_6$ does not have a subgroup of order $120$

Prove that there is no simple group of order $144$

Could every finite simple group be related to a pair of Lie Groups?

Simple groups in group theory 2

A finite group of even order, whose $2$-Sylow subgroups are cyclic, is not simple.

Can one prove that a group of order 150 is not simple using element counting?

For odd primes $p$, are finite groups with self-normalizing Sylow $p$-subgroups solvable?

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