Endotrivial modules for $p$-solvable groups.

Mazza, Nadia and Carlson, Jon and Thévenaz, Jacques (2011) Endotrivial modules for $p$-solvable groups. Transactions of the American Mathematical Society, 363. pp. 4979-4996. ISSN 1088-6850

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.