Translator Disclaimer
2015 The torsion group of endotrivial modules
Jon Carlson, Jacques Thévenaz
Algebra Number Theory 9(3): 749-765 (2015). DOI: 10.2140/ant.2015.9.749

Abstract

Let G be a finite group and let T(G) be the abelian group of equivalence classes of endotrivial kG-modules, where k is an algebraically closed field of characteristic p. We determine, in terms of the structure of G, the kernel of the restriction map from T(G) to T(S), where S is a Sylow p-subgroup of G, in the case when S is abelian. This provides a classification of all torsion endotrivial kG-modules in that case.

Citation

Download Citation

Jon Carlson. Jacques Thévenaz. "The torsion group of endotrivial modules." Algebra Number Theory 9 (3) 749 - 765, 2015. https://doi.org/10.2140/ant.2015.9.749

Information

Received: 5 November 2014; Revised: 28 January 2015; Accepted: 27 February 2015; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1325.20006
MathSciNet: MR3340550
Digital Object Identifier: 10.2140/ant.2015.9.749

Subjects:
Primary: 20C20

Rights: Copyright © 2015 Mathematical Sciences Publishers

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.9 • No. 3 • 2015
MSP
Back to Top