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.References
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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