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Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups/ by Nick Gill, Martin W. Liebeck, Pablo Spiga.
作者:	Gill, Nick.
其他作者:	Spiga, Pablo.
面頁冊數:	IX, 216 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Logic and Foundations. -
電子資源:	https://doi.org/10.1007/978-3-030-95956-2
ISBN:	9783030959562

Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups
Gill, Nick.

Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups[electronic resource] /by Nick Gill, Martin W. Liebeck, Pablo Spiga. - 1st ed. 2022. - IX, 216 p. 1 illus.online resource. - Lecture Notes in Mathematics,23021617-9692 ;. - Lecture Notes in Mathematics,2144.

1. Introduction -- 2. Preliminary Results for Groups of Lie Type -- 3. Exceptional Groups -- 4. Classical Groups.

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 to a wide range of readers. It will be particularly useful for graduate students and researchers who need to work with simple groups of Lie type.

ISBN: 9783030959562

Standard No.: 10.1007/978-3-030-95956-2doiSubjects--Topical Terms:

669393
Mathematical Logic and Foundations.

LC Class. No.: QA174-183

Dewey Class. No.: 512.2

Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups
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