Article
Licensed
Unlicensed
Requires Authentication
Groups With Chernikov Classes of Conjugate Subgroups
-
Published/Copyright:
July 27, 2005
Abstract
A theorem of B. H. Neumann shows that groups in which every subgroup has finitely many conjugates are central-by-finite. In this paper, we study groups G such that G/CoreG(NG(H)) is Chernikov for every subgroup H of G. We show that they are abelian-by-Chernikov and that their derived subgroups are Chernikov, but that they are not necessarily central-by-Chernikov.
:
Published Online: 2005-07-27
Published in Print: 2005-01-01
© de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Split BN-Pairs of Rank at Least 2 and the Uniqueness of Splittings
- The 2-Modular Reduction of the Steinberg Representation of a Finite Chevalley Group of Type Cn
- On the Restrictions of Modular Irreducible Representations of Algebraic Groups of Type An to Naturally Embedded Subgroups of Type A2
- Groups With Chernikov Classes of Conjugate Subgroups
- On Ranks for Finite Supersolvable Groups and Actions on Products of Spheres
- Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem
- On the Asphericity of LOT-Presentations of Groups
Articles in the same Issue
- Split BN-Pairs of Rank at Least 2 and the Uniqueness of Splittings
- The 2-Modular Reduction of the Steinberg Representation of a Finite Chevalley Group of Type Cn
- On the Restrictions of Modular Irreducible Representations of Algebraic Groups of Type An to Naturally Embedded Subgroups of Type A2
- Groups With Chernikov Classes of Conjugate Subgroups
- On Ranks for Finite Supersolvable Groups and Actions on Products of Spheres
- Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem
- On the Asphericity of LOT-Presentations of Groups
