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Simple endotrivial modules for quasi-simple groups. (English) Zbl 1397.20022
Summary: We investigate simple endotrivial modules of finite quasi-simple groups and classify them in several important cases. This is motivated by a recent result of G. R. Robinson [Bull. Lond. Math. Soc. 43, No. 4, 712–716 (2011; Zbl 1234.20003)] showing that simple endotrivial modules of most groups come from quasi-simple groups.

MSC:
20C20 Modular representations and characters
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
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