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Titlebook: Endotrivial Modules; Nadia Mazza Book 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 Endotrivial modul

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发表于 2025-3-21 16:28:33 | 显示全部楼层 |阅读模式
书目名称Endotrivial Modules
编辑Nadia Mazza
视频video
概述First book devoted to endotrivial modules.Collects 50 years of results and numerous examples.Includes background material and up-to-date references
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Endotrivial Modules;  Nadia Mazza Book 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 Endotrivial modul
描述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..
出版日期Book 2019
关键词Endotrivial module; Endo-permutation module; Modular representation; Module categories; Group cohomology
版次1
doihttps://doi.org/10.1007/978-3-030-18156-7
isbn_softcover978-3-030-18155-0
isbn_ebook978-3-030-18156-7Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2019
The information of publication is updating

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发表于 2025-3-21 20:30:45 | 显示全部楼层
SpringerBriefs in Mathematicshttp://image.papertrans.cn/e/image/309951.jpg
发表于 2025-3-22 03:52:03 | 显示全部楼层
发表于 2025-3-22 05:46:45 | 显示全部楼层
https://doi.org/10.1007/978-3-662-63216-1 subject following the historical development of the theory of endotrivial and endo-permutation modules, starting with the results obtained by E. Dade in the late 70s. We also present some key examples of endotrivial modules.
发表于 2025-3-22 10:15:17 | 显示全部楼层
https://doi.org/10.1007/978-3-322-97246-0up. We then discuss the rationality question of lifting endotrivial modules. In this chapter, we use traditional methods in modular representation theory, such as the theory of vertices, sources of modules and the Green’s correspondence.
发表于 2025-3-22 13:41:02 | 显示全部楼层
https://doi.org/10.1007/978-3-322-96013-9n the action of G by conjugation on its noncyclic elementary abelian p-subgroups. So, we make a detour via the category of noncyclic elementary abelian p-subgroups of a finite group. We end the chapter with results about finding “torsionfree” generators, and we present various partial results, including very recent ones.
发表于 2025-3-22 18:30:22 | 显示全部楼层
https://doi.org/10.1007/978-3-658-27608-9t suffice in general and several ingenious methods have been devised to answer this question: using ordinary character theory, methods derived from algebraic geometry, and methods using homotopy theory. We present each of these and give a few examples of their successful applications.
发表于 2025-3-23 00:54:34 | 显示全部楼层
Wenn es vermeintlich am Können fehltroups and their covering groups, finite groups of Lie type, and sporadic simple groups and their covering groups. This final chapter ends with an idiosyncratic observation, leading to an open question.
发表于 2025-3-23 04:08:41 | 显示全部楼层
Introduction,ons needed in finite group theory, modular representation theory, homological algebra, and, in view of recent developments in the study of endotrivial modules, we also include some concepts from algebraic topology.
发表于 2025-3-23 09:06:13 | 显示全部楼层
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