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Endotrivial Modules

  • Nadia Mazza
Book

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-x
  2. Nadia Mazza
    Pages 1-24
  3. Nadia Mazza
    Pages 25-44
  4. Nadia Mazza
    Pages 45-69
  5. Nadia Mazza
    Pages 77-86
  6. Back Matter
    Pages 111-120

About this book

Introduction

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.

Keywords

Endotrivial module Endo-permutation module Modular representation Module categories Group cohomology Quillen category Finite group

Authors and affiliations

  • Nadia Mazza
    • 1
  1. 1.Department of Mathematics and StatisticsLancaster UniversityLancasterUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-18156-7
  • Copyright Information The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-18155-0
  • Online ISBN 978-3-030-18156-7
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site