Locally finite groups containing a 2 -element with Chernikov centralizer

Khukhro, Evgeny; Makarenko, N. Y.; Shumyatsky, P.

Locally finite groups containing a 2 -element with Chernikov centralizer

https://hdl.handle.net/10779/lincoln.24339406

journal contribution

posted on 2024-03-12, 13:09 authored by Evgeny Khukhro, N. Y. Makarenko, P. Shumyatsky

<p>Suppose that a locally finite group G has a 2-element g with Chernikov centralizer. It is proved that if the involution in ?g? has nilpotent centralizer, then G has a soluble subgroup of finite index.</p>

History

School affiliated with

School of Mathematics and Physics (Research Outputs)

Publication Title

Monatshefte für Mathematik

Volume

179

Issue

1

Pages/Article Number

91-97

Publisher

Springer

External DOI

https://doi.org/10.1007/s00605-014-0701-8

ISSN

0026-9255

eISSN

1436-5081

Date Submitted

2014-12-05

Date Accepted

2014-10-23

Date of First Publication

2014-11-12

Date of Final Publication

2016-01-01

Date Document First Uploaded

2014-12-05

ePrints ID

16203

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Keywords

Automorphism Centralizer Chernikov group Derived length Locally finite group NotOAChecked Primary 20F50 Soluble group

Licence

CC BY 4.0

Locally finite groups containing a 2 -element with Chernikov centralizer

History

School affiliated with

Publication Title

Volume

Issue

Pages/Article Number

Publisher

External DOI

ISSN

eISSN

Date Submitted

Date Accepted

Date of First Publication

Date of Final Publication

Date Document First Uploaded

ePrints ID

Usage metrics

Categories

Keywords

Licence

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