List questions from solvable-groups

Published on 08 Apr 2014 - 16:33

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If $G$ is solvable and $G/[G,G]$ is cyclic, can $G\times G$ be generated by 2 elements?

Published on 15 Apr 2014 - 17:04

254

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An alternative definition of a solvable group

Published on 23 Apr 2014 - 17:16

243

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How to prove that $G/(H \cap K)$ is solvable given $H \triangleleft G, K \triangleleft G$ and both $G/H$ and $G/K$ are solvable using Abel series?

Published on 26 Apr 2014 - 14:44

435

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Are the groups of order $p^3q^5$ solvable?

Published on 27 Apr 2014 - 6:30

129

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On the Hall Theorem

Published on 27 Apr 2014 - 15:24

927

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Prove that $F(\sqrt{\alpha}) = F(\sqrt{\beta})$

Published on 27 Apr 2014 - 16:01

257

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Clarification of Abel-Ruffini theorem statement

Published on 29 Apr 2014 - 17:23

581

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Why is a finite group, with a maximal subgroup which is abelian, soluble?

Published on 05 May 2014 - 14:37

3k

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A group of order less than $60$

Published on 09 May 2014 - 5:08

100

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Proof with solvable groups

Published on 10 May 2014 - 23:29

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Subgroup of solvable group is solvable (not using tower definition)

Published on 11 May 2014 - 7:57

818

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nilpotent group implies solvable group

Published on 15 May 2014 - 2:47

3.8k

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Homomorphic Image

Published on 24 May 2014 - 17:12

184

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Nilpotent group with torsion divisible abelian quotient

Published on 29 May 2014 - 18:13

List Question

A question on solvable groups.

If $G$ is solvable and $G/[G,G]$ is cyclic, can $G\times G$ be generated by 2 elements?

An alternative definition of a solvable group

How to prove that $G/(H \cap K)$ is solvable given $H \triangleleft G, K \triangleleft G$ and both $G/H$ and $G/K$ are solvable using Abel series?

Are the groups of order $p^3q^5$ solvable?

On the Hall Theorem

Prove that $F(\sqrt{\alpha}) = F(\sqrt{\beta})$

Clarification of Abel-Ruffini theorem statement

Why is a finite group, with a maximal subgroup which is abelian, soluble?

A group of order less than $60$

Proof with solvable groups

Subgroup of solvable group is solvable (not using tower definition)

nilpotent group implies solvable group

Homomorphic Image

Nilpotent group with torsion divisible abelian quotient

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