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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Endotrivial modules for $p$-solvable groups
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by Jon F. Carlson, Nadia Mazza and Jacques Thévenaz PDF
Trans. Amer. Math. Soc. 363 (2011), 4979-4996 Request permission

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
  • MR Author ID: 45415
  • 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
  • ORCID: 0000-0001-8820-3627
  • Email: Jacques.Thevenaz@epfl.ch
  • 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
  • © Copyright 2011 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 4979-4996
  • MSC (2010): Primary 20C20
  • DOI: https://doi.org/10.1090/S0002-9947-2011-05307-9
  • MathSciNet review: 2806698