Connected transversals to nilpotent groups

Marcin Mazur

doi:10.1515/JGT.2007.015

Article

Connected transversals to nilpotent groups

Published/Copyright: April 22, 2007

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From the journal Volume 10 Issue 2

Abstract

We prove that a finite group with nilpotent subgroup H and H-connected transversals is solvable. The proof depends on the classification of finite simple groups.

(Communicated by D. J. S. Robinson)

Received: 2006-02-06

Revised: 2006-05-09

Published Online: 2007-04-22

Published in Print: 2007-03-20

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Articles in the same Issue

Almost central involutions in split extensions of Coxeter groups by graph automorphisms
The exact spread of the Mathieu group M₁₁
On p-monomial modules over local domains
Actions of abelian groups on groups
Connected transversals to nilpotent groups
A note on finite 𝒫𝒮𝒯-groups
On c*-normality and its properties
Finite groups with few non-cyclic subgroups
On topologizing groups
Examples of growth series of torus bundle groups

https://doi.org/10.1515/JGT.2007.015

Articles in the same Issue

Almost central involutions in split extensions of Coxeter groups by graph automorphisms
The exact spread of the Mathieu group M₁₁
On p-monomial modules over local domains
Actions of abelian groups on groups
Connected transversals to nilpotent groups
A note on finite 𝒫𝒮𝒯-groups
On c*-normality and its properties
Finite groups with few non-cyclic subgroups
On topologizing groups
Examples of growth series of torus bundle groups