List questions from solvable-groups

Published on 15 Jan 2013 - 17:13

292

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Is there a simple construction of a finite solvable group with a given derived length?

Published on 30 Jan 2013 - 19:33

179

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Centralizer of the radical is a subgroup of the radical?

Published on 13 Feb 2013 - 17:41

384

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What can be said about two groups with isomorphic derived factors?

Published on 02 Mar 2013 - 21:48

639

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Groups of order $252 = 4 \cdot 7 \cdot 9$ are solvable

Published on 05 Aug 2020 - 12:18

195

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If $N \triangleleft G$ is virtually solvable and $G/N$ is virtually infinite cyclic then $G$ is virtually solvable.

Published on 26 Mar 2026 - 8:04

132

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Why are solvmanifolds of importance?

Published on 08 Aug 2020 - 19:52

123

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An ascending union of reduced FATR groups is FATR

Published on 11 Aug 2020 - 12:29

105

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How to prove that pqr order group is solvable group？

Published on 11 Aug 2020 - 14:05

360

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Does a nontrivial finite solvable group have a subgroup of prime power index for each prime divisor?

Published on 18 Aug 2020 - 9:22

109

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A question based on minimal normal subgroup

Published on 22 Aug 2020 - 11:33

62

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Infinite pro-$p$ group of finite solvable length and finite coclass

Published on 25 Mar 2026 - 6:06

147

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$p$-group and an normal subgroup, need help to start my solution

Published on 26 Aug 2020 - 12:17

568

Views

Is the polynomial $x^5+5x-10$ is solvable by radicals over $\Bbb Q$?

Published on 23 Feb 2026 - 10:19

411

Views

"There is no closed-form solution of the three-body problem"- is this just a folklore?

Published on 05 Sep 2020 - 18:56

List Question

When is $G \ast H$ solvable?

Is there a simple construction of a finite solvable group with a given derived length?

Centralizer of the radical is a subgroup of the radical?

What can be said about two groups with isomorphic derived factors?

Groups of order $252 = 4 \cdot 7 \cdot 9$ are solvable

If $N \triangleleft G$ is virtually solvable and $G/N$ is virtually infinite cyclic then $G$ is virtually solvable.

Why are solvmanifolds of importance?

An ascending union of reduced FATR groups is FATR

How to prove that pqr order group is solvable group？

Does a nontrivial finite solvable group have a subgroup of prime power index for each prime divisor?

A question based on minimal normal subgroup

Infinite pro-$p$ group of finite solvable length and finite coclass

$p$-group and an normal subgroup, need help to start my solution

Is the polynomial $x^5+5x-10$ is solvable by radicals over $\Bbb Q$?

"There is no closed-form solution of the three-body problem"- is this just a folklore?

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