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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Endotrivial modules for $ p$-solvable groups


Authors: Jon F. Carlson, Nadia Mazza and Jacques Thévenaz
Journal: Trans. Amer. Math. Soc. 363 (2011), 4979-4996
MSC (2010): Primary 20C20
Published electronically: April 19, 2011
MathSciNet review: 2806698
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Abstract: We determine the torsion subgroup of the group of endotrivial modules for a finite solvable group in characteristic $ p$. We also prove that our result would hold for $ p$-solvable groups, provided a conjecture can be proved for the case of $ p$-nilpotent groups.


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Additional Information

Jon F. Carlson
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email: jfc@math.uga.edu

Nadia Mazza
Affiliation: Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, England
Email: n.mazza@lancaster.ac.uk

Jacques Thévenaz
Affiliation: Institut de Géométrie, Mathematics Section, EPFL, Station 8, CH-1015 Lausanne, Switzerland
Email: Jacques.Thevenaz@epfl.ch

DOI: http://dx.doi.org/10.1090/S0002-9947-2011-05307-9
PII: S 0002-9947(2011)05307-9
Received by editor(s): November 13, 2009
Received by editor(s) in revised form: February 1, 2010
Published electronically: April 19, 2011
Additional Notes: The first author was partially supported by a grant from NSF
Article copyright: © Copyright 2011 American Mathematical Society