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＜電子ブック＞
Endotrivial Modules / by Nadia Mazza
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	X, 120 p. 8 illus : online resource
著者標目	*Mazza, Nadia author SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Algebra, Homological LCSH:K-theory FREE:Group Theory and Generalizations FREE:Category Theory, Homological Algebra FREE:K-Theory
一般注記	1 Introduction -- 2 Endotrivial modules -- 3 Classifying endotrivial modules -- 4 The torsionfree part of the group of endotrivial modules -- 5 Torsion endotrivial modules -- 6 Endotrivial modules for Very Important Groups 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 HTTP:URL=https://doi.org/10.1007/978-3-030-18156-7

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