List questions from solvable-groups

Published on 23 Feb 2026 - 6:36

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Let $G$ be a group such that $N\unlhd G$ and $H \le G$ are both solvable. Show that $NH$ is solvable.

Published on 16 Apr 2023 - 13:26

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Solvable-by-finite groups

Published on 16 Apr 2023 - 17:06

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proof that if G is a solvable group then quotient of G is solvable

Published on 21 Apr 2023 - 19:40

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A matrix group over commutative ring

Published on 14 May 2023 - 17:41

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Corollary of the First Theorem of Hall for finite soluble groups

Published on 20 Jun 2023 - 12:02

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What does "proper" mean in this context?

Published on 27 Jun 2023 - 15:36

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When is the special linear group $SL_n(\Bbb F_q)$ over a finite field $\Bbb F_q$ solvable?

Published on 23 Feb 2026 - 2:15

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Question on Hall's theorem for solvable groups

Published on 02 Jul 2023 - 7:40

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showing that $S_n$ is not solvable for $n\ge 5$.

Published on 02 Jul 2023 - 12:04

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Socle of a group and the Fitting subgroup of a solvable primitive group

Published on 23 Feb 2026 - 5:52

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Group of order $1575$ is solvable

Published on 14 Jul 2023 - 21:03

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Solvable Groups and Derived Subgroups. Why does $D(G_i) \subset G_{i + 1} \implies D_i(G) \subset G_i$.

Published on 23 Feb 2026 - 2:09

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Properties of the obvious action of $Aut(G)$ on $G$

Published on 29 Jul 2023 - 10:54

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Number of Sylow subgroups in $p$-solvable groups - Navarro article

Published on 03 Aug 2023 - 9:11

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Solvability of quintics with complex coefficients?

Let $G$ be a group such that $N\unlhd G$ and $H \le G$ are both solvable. Show that $NH$ is solvable.

Solvable-by-finite groups

proof that if G is a solvable group then quotient of G is solvable

A matrix group over commutative ring

Corollary of the First Theorem of Hall for finite soluble groups

What does "proper" mean in this context?

When is the special linear group $SL_n(\Bbb F_q)$ over a finite field $\Bbb F_q$ solvable?

Question on Hall's theorem for solvable groups

showing that $S_n$ is not solvable for $n\ge 5$.

Socle of a group and the Fitting subgroup of a solvable primitive group

Group of order $1575$ is solvable

Solvable Groups and Derived Subgroups. Why does $D(G_i) \subset G_{i + 1} \implies D_i(G) \subset G_i$.

Properties of the obvious action of $Aut(G)$ on $G$

Number of Sylow subgroups in $p$-solvable groups - Navarro article

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