List questions from simple-groups

Published on 15 Apr 2026 - 5:30

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SO(3) has no normal non-trivial subgroups except for itself i.e. SO(3) is simple

Published on 15 Apr 2026 - 21:47

136

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Zassenhaus's theorem on sharply 3-transitive groups

Published on 11 Apr 2026 - 19:27

184

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Conjugacy class of involutions in finite simple group

Published on 10 May 2026 - 16:06

349

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Is the Alternating group $A_5$ isomorphic to the external direct product $A_4 \oplus \mathbb{Z}_5$?

Published on 14 Apr 2026 - 12:15

220

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Is there any relationship between Simple Group and Field?

Published on 11 Apr 2026 - 6:33

276

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For each $n$ determine whether $S_n$ (1) and $D_n$ (2) are simple or not.

Published on 13 Apr 2026 - 7:21

665

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How many composition series of group D6 are there? (Dihedral group order 12)

Published on 15 Apr 2026 - 14:27

584

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Simple proof of $A_n$ being simple?

Published on 26 Mar 2026 - 1:07

73

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Picture class number-order of the simple groups

Published on 26 Mar 2026 - 1:06

40

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Generalizing CIT-groups to odd case

Published on 12 Apr 2026 - 10:56

195

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No simple group of order $2^73^2$

Published on 16 Apr 2026 - 0:02

81

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Classification of finite simple groups $G$ with $\pi(G)=\{2,3,5\}$

Published on 15 Apr 2026 - 13:38

743

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Proving that a group of order $p^nq$ for primes $p$ and $q$ is not simple.

Published on 15 Apr 2026 - 19:09

1.2k

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Rigorous proof of the Jordan-Hölder Theorem

Published on 13 Apr 2026 - 19:31

List Question

Isomorphism of two simple normal subgroups of a group $G$, given that $G$ has composition series

SO(3) has no normal non-trivial subgroups except for itself i.e. SO(3) is simple

Zassenhaus's theorem on sharply 3-transitive groups

Conjugacy class of involutions in finite simple group

Is the Alternating group $A_5$ isomorphic to the external direct product $A_4 \oplus \mathbb{Z}_5$?

Is there any relationship between Simple Group and Field?

For each $n$ determine whether $S_n$ (1) and $D_n$ (2) are simple or not.

How many composition series of group D6 are there? (Dihedral group order 12)

Simple proof of $A_n$ being simple?

Picture class number-order of the simple groups

Generalizing CIT-groups to odd case

No simple group of order $2^73^2$

Classification of finite simple groups $G$ with $\pi(G)=\{2,3,5\}$

Proving that a group of order $p^nq$ for primes $p$ and $q$ is not simple.

Rigorous proof of the Jordan-Hölder Theorem

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