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Endotrivial Modules
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SpringerLink (Online service)
Endotrivial Modules
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Endotrivial Modules/ by Nadia Mazza.
Author:
Mazza, Nadia.
Description:
X, 120 p. 8 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Group theory. -
Online resource:
https://doi.org/10.1007/978-3-030-18156-7
ISBN:
9783030181567
Endotrivial Modules
Mazza, Nadia.
Endotrivial Modules
[electronic resource] /by Nadia Mazza. - 1st ed. 2019. - X, 120 p. 8 illus.online resource. - 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:
527791
Group theory.
LC Class. No.: QA174-183
Dewey Class. No.: 512.2
Endotrivial Modules
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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.
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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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