The group of endotrivial modules in the normal case.

Mazza, Nadia (2007) The group of endotrivial modules in the normal case. Journal of Pure and Applied Algebra, 209 (2). pp. 311-323. ISSN 0022-4049

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Abstract

The group of endotrivial modules has recently been determined for a finite group having a normal Sylow $p$-subgroup. In this paper, we give and compare three different presentations of a torsion-free subgroup of maximal rank of the group of endotrivial modules. Finally, we illustrate the constructions in an example.