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Endotrivial modules

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Endotrivial modules

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Endotrivial modules/ by Nadia Mazza.
作者:	Mazza, Nadia.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	x, 120 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Modular representations of groups. -
電子資源:	https://doi.org/10.1007/978-3-030-18156-7
ISBN:	9783030181567

Endotrivial modules
Mazza, Nadia.

Endotrivial modules[electronic resource] /by Nadia Mazza. - Cham :Springer International Publishing :2019. - x, 120 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

ISBN: 9783030181567

Standard No.: 10.1007/978-3-030-18156-7doiSubjects--Topical Terms:

907670
Modular representations of groups.

LC Class. No.: QA176 / .M399 2019

Dewey Class. No.: 512.2

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520 $a 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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