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Titlebook: Endotrivial Modules; Nadia Mazza Book 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 Endotrivial modul

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,The Torsionfree Part of the Group of Endotrivial Modules,n the action of G by conjugation on its noncyclic elementary abelian p-subgroups. So, we make a detour via the category of noncyclic elementary abelian p-subgroups of a finite group. We end the chapter with results about finding “torsionfree” generators, and we present various partial results, including very recent ones.
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Endotrivial Modules for Very Important Groups,roups and their covering groups, finite groups of Lie type, and sporadic simple groups and their covering groups. This final chapter ends with an idiosyncratic observation, leading to an open question.
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Datenerfassung und Datenbereinigung,ons needed in finite group theory, modular representation theory, homological algebra, and, in view of recent developments in the study of endotrivial modules, we also include some concepts from algebraic topology.
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https://doi.org/10.1007/978-3-658-27608-9t 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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