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Cherlins Conjecture for Finite Primitive Binary Permutation Groups - Nick Gill,Pablo Spiga,Martin W. Liebeck

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2022-06-18
55,89 € 93,15 €

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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, in ... Täielik kirjeldus

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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.

Lisateave

Autor Nick Gill, Pablo Spiga, Martin W. Liebeck
Kirjastaja Springer Nature Switzerland
Series Lecture Notes in Mathematics
Väljalaskeaasta 2022
Kaanetüüp Pehme kaanega
EAN 9783030959555
Kirjuta oma arvustus
Te vaatate: Cherlins Conjecture for Finite Primitive Binary Permutation Groups
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55,89 € 93,15 €