| 书目名称 | Maximal Solvable Subgroups of Finite Classical Groups |
| 编辑 | Mikko Korhonen |
| 视频video | |
| 概述 | Extends Jordan’s results on maximal solvable subgroups.Discusses irreducible matrix groups, primitive permutation groups, and related topics.Suitable for graduate students and researchers in finite gr |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book studies maximal solvable subgroups of classical groups over finite fields. It provides the first modern account of Camille Jordan‘s classical results, and extends them, giving a classification of maximal irreducible solvable subgroups of general linear groups, symplectic groups, and orthogonal groups over arbitrary finite fields...A subgroup of a group G is said to be maximal solvable if it is maximal among the solvable subgroups of G. The history of this notion goes back to Jordan’s .Traité. (1870), in which he provided a classification of maximal solvable subgroups of symmetric groups. The main difficulty is in the primitive case, which leads to the problem of classifying maximal irreducible solvable subgroups of general linear groups over a field of prime order. One purpose of this monograph is expository: to give a proof of Jordan’s classification in modern terms. More generally, the aim is to generalize these results to classical groups over arbitrary finite fields, and to provide other results of interest related to irreducible solvable matrix groups...The text will be accessible to graduate students and researchers interested in primitive permutation groups, irred |
| 出版日期 | Book 2024 |
| 关键词 | Group Theory; Representation Theory; Finite Group Theory; Finite Solvable Groups; Maximal Solvable Subgr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-62915-0 |
| isbn_softcover | 978-3-031-62914-3 |
| isbn_ebook | 978-3-031-62915-0Series 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 18:34:23
