Abstract
Let G be a locally finite group admitting a four-group of automorphisms without non-trivial fixed points. It is shown that the derived group G′ is a product of normal nilpotent subgroups.
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Journal of Group Theory
Editor-in-Chief: Parker, Christopher W.
Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus
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- Online
- ISSN
- 1435-4446
On groups admitting a fixed-point-free four-group of automorphisms
Pavel Shumyatsky / Carmela Sica
Published Online: 2008-11-06 | DOI: https://doi.org/10.1515/JGT.2008.085
Free Access
About the article
Received: 2008-03-05
Published Online: 2008-11-06
Published in Print: 2009-05-01
Citation Information: Journal of Group Theory, Volume 12, Issue 3, Pages 401–405, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/JGT.2008.085.
© de Gruyter 2009.Citing Articles
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[1]
Pavel Shumyatsky
Israel Journal of Mathematics, 2013, Volume 194, Number 2, Page 895
[2]
Pavel Shumyatsky
Monatshefte für Mathematik, 2012, Volume 168, Number 1, Page 113
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