The torsion group of endotrivial modules

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.


Published in:
Algebra & Number Theory, 9, 3, 749-765
Year:
2015
Publisher:
Berkeley, Mathematical Science Publ
Keywords:
Laboratories:




 Record created 2014-08-18, last modified 2018-03-17

Preprint:
Download fulltext
PDF

Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)