| 书目名称 | Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups |
| 编辑 | Nick Gill,Martin W. Liebeck,Pablo Spiga |
| 视频video | |
| 概述 | Provides a solution to the Cherlin conjecture on binary groups.Gives a classification of the finite binary relational structures.Includes a comprehensive review of previous work on finite primitive bi |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This book gives a proof of Cherlin’s conjecture for finite binary primitive permutation groups. Motivated by the part of model theory concerned with Lachlan’s theory of finite homogeneous relational structures, this conjecture proposes a classification of those finite primitive permutation groups that have relational complexity equal to 2. .The first part gives a full introduction to Cherlin’s conjecture, including all the key ideas that have been used in the literature to prove some of its special cases. The second part completes the proof by dealing with primitive permutation groups that are almost simple with socle a group of Lie type. A great deal of material concerning properties of primitive permutation groups and almost simple groups is included, and new ideas are introduced. .Addressing a hot topic which cuts across the disciplines of group theory, model theory and logic, this book will be of interest toa wide range of readers. It will be particularly useful for graduate students and researchers who need to work with simple groups of Lie type.. |
| 出版日期 | Book 2022 |
| 关键词 | Combinatorics; Finite Primitive Groups; Binary Permutation Groups; Relational Complexity; Binary Relatio |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-95956-2 |
| isbn_softcover | 978-3-030-95955-5 |
| isbn_ebook | 978-3-030-95956-2Series 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 17:20:28
