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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W. / Wilson, John S.

Managing Editor: Khukhro, Evgenii I. / Kramer, Linus

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1435-4446
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Zassenhaus conjecture for central extensions of S 5

Victor Bovdi
  • Victor Bovdi, Institute of Mathematics, University of Debrecen, 4010 Debrecen, P.O. Box 12, Hungary; Institute of Mathematics and Informatics, College of Nyíregyháza, Sóstói út 31/B, 4410 Nyíregyháza, Hungary.
  • :
/ Martin Hertweck
  • Martin Hertweck, Universität Stuttgart, Fachbereich Mathematik, IGT, Pfaffenwaldring 57, 70550 Stuttgart, Germany.
  • :
Published Online: 2008-02-22 | DOI: https://doi.org/10.1515/JGT.2008.004

Abstract

We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S 5 and for the general linear group GL(2, 5). The first result, together with others from the literature, settles the conjugacy question for units of prime-power order in the integral group ring of a finite Frobenius group.


Received: 2006-09-14

Revised: 2007-03-08

Published Online: 2008-02-22

Published in Print: 2008-01-01


Citation Information: Journal of Group Theory. Volume 11, Issue 1, Pages 63–74, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/JGT.2008.004, February 2008

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