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Torsion Endotrivial Modules

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Endotrivial Modules

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

We discuss the tedious problem of finding all (indecomposable) trivial source endotrivial modules for a finite group. The Green correspondence does not suffice in general and several ingenious methods have been devised to answer this question: using ordinary character theory, methods derived from algebraic geometry, and methods using homotopy theory. We present each of these and give a few examples of their successful applications.

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Correspondence to Nadia Mazza .

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© 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Mazza, N. (2019). Torsion Endotrivial Modules. In: Endotrivial Modules. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-18156-7_5

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