List questions from solvable-groups

Published on 04 May 2022 - 23:22

241

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Prove that groups of order 200 are solvable

Published on 06 May 2022 - 2:31

258

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Solvability of a direct product of solvable groups

Published on 14 May 2022 - 6:07

171

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Is every subgroup in a solvable group's composition series, also a normal subgroup?

Published on 14 May 2022 - 15:24

66

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an Equivalent condition for nilpotency of a finite group like of finite solvable group

Published on 26 Mar 2026 - 8:00

49

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If G is a finite group and solvable, it has a composition series

Published on 30 May 2022 - 7:33

118

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A minimal normal subgroup of a solvable group is abelian

Published on 01 Jun 2022 - 20:21

52

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Show that for every $n$-primary root of unity that ${\rm Gal}(K(\zeta),\Bbb Q)$ is solvable.

Published on 19 Jun 2022 - 18:15

170

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Finding maximal, solvable, primitive subgroups of a large group in GAP

Published on 26 Mar 2026 - 12:34

77

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Finite soluble group is $\pi$-separable for every $\pi$

Published on 23 Jun 2022 - 15:56

155

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Prove that a group of order $351$ is solvable.

Published on 24 Jun 2022 - 9:10

146

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If $G$ is nonabelian & solvable s.t. the centralizer of each nontrivial element is abelian, then $G$ is Frobenius with kernel its Fitting subgroup

Published on 23 Feb 2026 - 8:28

333

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Every maximal subgroup has prime index.

Published on 25 Mar 2026 - 17:25

92

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$G$ solvable if and only if $U^s \sim V^s$

Published on 29 Jul 2022 - 22:24

58

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Galois group of polynomials over p-adic Fields

Published on 30 Jul 2022 - 19:27

List Question

Radical Solvability by $p$th roots

Prove that groups of order 200 are solvable

Solvability of a direct product of solvable groups

Is every subgroup in a solvable group's composition series, also a normal subgroup?

an Equivalent condition for nilpotency of a finite group like of finite solvable group

If G is a finite group and solvable, it has a composition series

A minimal normal subgroup of a solvable group is abelian

Show that for every $n$-primary root of unity that ${\rm Gal}(K(\zeta),\Bbb Q)$ is solvable.

Finding maximal, solvable, primitive subgroups of a large group in GAP

Finite soluble group is $\pi$-separable for every $\pi$

Prove that a group of order $351$ is solvable.

If $G$ is nonabelian & solvable s.t. the centralizer of each nontrivial element is abelian, then $G$ is Frobenius with kernel its Fitting subgroup

Every maximal subgroup has prime index.

$G$ solvable if and only if $U^s \sim V^s$

Galois group of polynomials over p-adic Fields

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