| 书目名称 | Rank 2 Amalgams and Fusion Systems |
| 编辑 | Martin van Beek |
| 视频video | |
| 概述 | Classifies small fusion systems and provides generic methods for treating larger classes of fusion systems.Gives a modern exposition of the amalgam method and‘its use in understanding finite groups an |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems with few essential subgroups. It demonstrates a broad range of techniques from local group theory and fusion systems, several of which can be applied in more general settings. Addressing research problems that have not been treated in the past, it is the first text to explicitly use the amalgam method in this context..Fusion systems offer an enticing way to unify various .p.-local methods employed in group theory, representation theory and homotopy theory; but as abstract constructions they are still somewhat mysterious. This book paves the way to a broad and systematic study of these categories by applying the amalgam method, thus modernizing a methodology widely used to understand the local structure of finite groups. With this comes an introduction to several vital techniques in local group theory, a generous survey of the structure and modular representation theory of some important families of finite groups, and a demonstration of the value of combinatorial methods in finite group theory and fusion systems..Primarily aimed at researchers active in fusion sys |
| 出版日期 | Book 2024 |
| 关键词 | Fusion Systems; Finite Simple Groups; Groups of Lie Type; Groups With a BN-Pair; Groups Acting on Graphs |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-54461-3 |
| isbn_softcover | 978-3-031-54460-6 |
| isbn_ebook | 978-3-031-54461-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:30:34
