Cherlin's Conjecture for Finite Primitive Binary Permutation Groups

By: Nick Gill, Martin W. Liebeck, Pablo Spiga

Write A Review

Paperback | 18 June 2022

At a Glance

Paperback
228 Pages

Dimensions(cm)
23.39 x 15.6 x 1.22

Paperback

$158.99

or 4 interest-free payments of $39.75 with

or

Ships in 10 to 15 business days

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.

Industry Reviews

"This monograph proves an attractive conjecture of G. L. Cherlin on finite permutation groups, motivated by model theory." (H. Dugald Macpherson, Mathematical Reviews, November, 2023)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.