EAN: 9783030181550

SPRINGERBRIEFS IN MATHEMATICS ENDOTRIVIAL MOD...

This is an in-depth report on the endotrivial modules  an important class of modular
representations for finite groups. Following the historical development of the theory  the book
starts with a review of the necessary definitions and some key examples. The main results
obtained using traditional techniques are then presented  followed by more recent results such
as the work of Grodal inspired by algebraic topology. In the last part of the book original
methods are applied to obtain the group of endotrivial modules for certain very important
groups. An accessible reference collecting half a century of research on endotrivial modules 
this book will be of interest to researchers in algebra.

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