List questions from solvable-groups

Published on 28 May 2019 - 1:21

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Is the center of an infinite solvable group infinite?

Published on 16 Jun 2019 - 20:46

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Why does $K/k$ finite, solvable, Galois and $F/k$ abelian mean that $FK/F$ solvable?

Published on 20 Jun 2019 - 14:06

281

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Number of Sylow subgroups in $p$-solvable groups - paper of G. Navarro

Published on 29 Jun 2019 - 0:27

623

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Solvable Field Extension

Published on 29 Jun 2019 - 11:56

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Find an example of $p$-solvable group

Published on 23 Jul 2019 - 11:15

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If $\text{Gal}(f)=D_{2017}$ for some $f\in\mathbb{Q}[x]$ then $f$ is solvable

Published on 24 Jul 2019 - 13:53

184

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The abelian tower of solvable quotient group $G/H$

Published on 25 Jul 2019 - 8:42

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When is the Galois group of a quintic not $S_5$ if we use this particular method?

Published on 19 Mar 2026 - 23:54

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Solvable groups as iterated semidirect products of supersolvable groups

Published on 11 Sep 2019 - 12:38

63

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Suzuki and solvability of finite groups

Published on 16 Sep 2019 - 3:41

46

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if an Affine group scheme G isn't solvable then G(R) isn't solvable for some R

Published on 18 Sep 2019 - 17:02

33

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Sylow, Suzuki group and solvability of finite groups

Published on 26 Sep 2019 - 0:38

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Proof for: semidirect product of solvable groups is solvable

Published on 25 Mar 2014 - 15:20

381

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On groups of order $p^aq^br^c$ containing elements of order $pq$, $qr$, and $pr$, but not $pqr$

Published on 23 Feb 2026 - 4:47

List Question

Prove that a finitely generated soluble periodic group is finite.

Is the center of an infinite solvable group infinite?

Why does $K/k$ finite, solvable, Galois and $F/k$ abelian mean that $FK/F$ solvable?

Number of Sylow subgroups in $p$-solvable groups - paper of G. Navarro

Solvable Field Extension

Find an example of $p$-solvable group

If $\text{Gal}(f)=D_{2017}$ for some $f\in\mathbb{Q}[x]$ then $f$ is solvable

The abelian tower of solvable quotient group $G/H$

When is the Galois group of a quintic not $S_5$ if we use this particular method?

Solvable groups as iterated semidirect products of supersolvable groups

Suzuki and solvability of finite groups

if an Affine group scheme G isn't solvable then G(R) isn't solvable for some R

Sylow, Suzuki group and solvability of finite groups

Proof for: semidirect product of solvable groups is solvable

On groups of order $p^aq^br^c$ containing elements of order $pq$, $qr$, and $pr$, but not $pqr$

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