| 书目名称 | Normal 2-Coverings of the Finite Simple Groups and their Generalizations |
| 编辑 | Daniela Bubboloni,Pablo Spiga,Thomas Stefan Weigel |
| 视频video | |
| 概述 | Provides the first comprehensive classification of normal 2-coverings of non-abelian‘simple groups.The first reference book to collect and consolidate existing research on normal‘2-coverings and their |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book provides a complete and comprehensive classification of normal 2-coverings of non-abelian simple groups and their generalizations. While offering readers a thorough understanding of these structures, and of the groups admitting them, it delves into the properties of weak normal coverings. The focal point is the weak normal covering number of a group .G., the minimum number of proper subgroups required for every element of .G. to have a conjugate within one of these subgroups, via an element of Aut(.G.). This number is shown to be at least 2 for every non-abelian simple group and the non-abelian simple groups for which this minimum value is attained are classified. The discussion then moves to almost simple groups, with some insights into their weak normal covering numbers. Applications span algebraic number theory, combinatorics, Galois theory, and beyond. Compiling existing material and synthesizing it into a cohesive framework, the book gives a complete overview of this fundamental aspect of finite group theory. It will serve as a valuable resource for researchers and graduate students working on non-abelian simple groups,. |
| 出版日期 | Book 2024 |
| 关键词 | Normal 2-Covering; Simple Group; Derangement; Conjugacy Class; Maximal Subgroup; Kronecker Class |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-62348-6 |
| isbn_softcover | 978-3-031-62347-9 |
| isbn_ebook | 978-3-031-62348-6Series 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 17:59:34
