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FINITE LOOPS WITH NILPOTENT INNER MAPPING GROUPS ARE CENTRALLY NILPOTENT

Part of: Representation theory of groups Other generalizations of groups

Published online by Cambridge University Press:  26 February 2009

MARKKU NIEMENMAA
MARKKU NIEMENMAA*
Affiliation:
Department of Mathematical Sciences, University of Oulu, PL 3000, 90014 Oulu, Finland (email: mniemen@cc.oulu.fi)
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Abstract

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In this article we show that finite loops with nilpotent inner mapping groups are centrally nilpotent.

Keywords

centrally nilpotent loopinner mapping groupconnected transversals

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks 20N05: Loops, quasigroups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 1 , February 2009 , pp. 109 - 114
Copyright
Copyright © Australian Mathematical Society 2009

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