TY - BOOK

T1 - Endotrivial Modules

AU - Mazza, Nadia

PY - 2019/7/21

Y1 - 2019/7/21

N2 - 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.

AB - 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.

KW - endotrivial modules

U2 - 10.1007/978-3-030-18156-7

DO - 10.1007/978-3-030-18156-7

M3 - Book

SN - 9783030181550

T3 - SpringerBriefs in Mathematics

BT - Endotrivial Modules

PB - Springer

CY - Cham

ER -