Cherlin''s Conjecture for Finite Primitive Binary Permutation Groups
1st ed. 2022
Book Details
Format
Paperback / Softback
Book Series
Lecture Notes in Mathematics
ISBN-10
3030959554
ISBN-13
9783030959555
Edition
1st ed. 2022
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 18th, 2022
Print length
216 Pages
Product Classification:
Mathematical foundationsMathematical logicGroups & group theoryGroups and group theory
Ksh 9,000.00
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This book gives a proof of Cherlin’s conjecture for finite binary primitive permutation 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.
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