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Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups
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Catalogue Information
Field name
Details
Dewey Class
512.2
Title
Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups ([EBook]) / Nick Gill, Martin W. Liebeck, Pablo Spiga
Author
Gill, Nick
Added Personal Name
Liebeck, Martin W.
Spiga, Pablo
Publication
Cham : Springer International Publishing , 2022
Physical Details
: online resource (ix, 216 p.)
Series
Lecture Notes in Mathematics
; 2302
ISBN
978-3-030-95956-2
Summary Note
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. (provided by publisher):
Mode of acces to digital resource
Digital reproduction.- Cham : Springer International Publishing, 2022. - Digital book. Cham Springer Nature 2022. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-95956-2
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Subject References:
Group theory
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Mathematical logic
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Authors:
Gill, Nick
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Liebeck, Martin W.
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Spiga, Pablo
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Series:
Lecture Notes in Mathematics
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Classification:
512.2
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