List questions from frattini-subgroup

Published on 27 Mar 2020 - 2:15

393

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How to define a finitely presented group in GAP

Published on 06 Apr 2020 - 11:11

306

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Frattini sugroup and normal subgroup

Published on 08 Apr 2020 - 16:44

172

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Frattini subgroup of $p$-groups and the automorphisms

Published on 05 May 2020 - 17:49

486

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Index of subgroups in a finite solvable group, with trivial Frattini subgroup (Exercise 3B.12 from Finite Group Theory, by M. Isaacs)

Published on 19 Mar 2026 - 23:50

380

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Let $G$ be a finite non-solvable group, each of whose proper subgroups is solvable.

Published on 21 Jul 2020 - 17:41

335

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If $|G|=p^3q^2$ then $\Phi(G)$ is cyclic for primes $p\neq q$.

Published on 25 Jul 2016 - 12:06

52

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Is there an algorithm to check whether given subgroup contained inside the Frattini subgroup?

Published on 25 Mar 2026 - 1:26

102

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Frattini subgroup of a quotient

Published on 17 Sep 2023 - 21:15

44

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The number of Hall $\pi$-subgroups of a $\pi$-separable group - Alexandre Turull article

Published on 07 Feb 2024 - 22:47

152

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A problem about Frattini subgroup of a subgroup

Published on 18 Aug 2015 - 11:28

104

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About Frattini subgroup

Published on 04 Sep 2015 - 18:37

3.7k

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Intuition behind the Frattini subgroup

Published on 14 Mar 2013 - 3:12

461

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Let $N$ be an abelian minimal normal subgroup of $G$. Then $N$ has a complement in $G$ iff $N\not\leq \Phi(G)$.

Published on 12 Aug 2020 - 21:40

31

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Isomorphism of maximal subgroups fix the Frattini?

Published on 07 Oct 2020 - 18:56

List Question

A-invariant Sylow p-subgroup

How to define a finitely presented group in GAP

Frattini sugroup and normal subgroup

Frattini subgroup of $p$-groups and the automorphisms

Index of subgroups in a finite solvable group, with trivial Frattini subgroup (Exercise 3B.12 from Finite Group Theory, by M. Isaacs)

Let $G$ be a finite non-solvable group, each of whose proper subgroups is solvable.

If $|G|=p^3q^2$ then $\Phi(G)$ is cyclic for primes $p\neq q$.

Is there an algorithm to check whether given subgroup contained inside the Frattini subgroup?

Frattini subgroup of a quotient

The number of Hall $\pi$-subgroups of a $\pi$-separable group - Alexandre Turull article

A problem about Frattini subgroup of a subgroup

About Frattini subgroup

Intuition behind the Frattini subgroup

Let $N$ be an abelian minimal normal subgroup of $G$. Then $N$ has a complement in $G$ iff $N\not\leq \Phi(G)$.

Isomorphism of maximal subgroups fix the Frattini?

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