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Endotrivial modules for $p$-solvable groups.

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<mark>Journal publication date</mark>19/04/2011
<mark>Journal</mark>Transactions of the American Mathematical Society
Volume363
Number of pages18
Pages (from-to)4979-4996
<mark>State</mark>Published
<mark>Original language</mark>English

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.