List questions from solvable-groups

Published on 10 May 2026 - 19:47

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Is the center of an infinite solvable group infinite?

Published on 11 Apr 2026 - 8:38

60

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

Published on 15 Apr 2026 - 7:25

284

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

Published on 16 Apr 2026 - 6:48

628

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Solvable Field Extension

Published on 10 May 2026 - 14:43

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Find an example of $p$-solvable group

Published on 12 Apr 2026 - 22:27

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

Published on 16 Apr 2026 - 2:33

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

Published on 15 Apr 2026 - 22:30

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

Published on 26 Apr 2026 - 1:33

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Solvable groups as iterated semidirect products of supersolvable groups

Published on 16 Apr 2026 - 18:05

67

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Suzuki and solvability of finite groups

Published on 10 May 2026 - 17:37

50

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

Published on 10 May 2026 - 16:13

36

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Sylow, Suzuki group and solvability of finite groups

Published on 14 Apr 2026 - 2:14

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Proof for: semidirect product of solvable groups is solvable

Published on 11 Apr 2026 - 18:49

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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 09 Apr 2026 - 10:04

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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