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Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups

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

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Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups

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

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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Page Count

221

Publisher

Springer Nature

Published Date

ISBN 10

3030959562

ISBN 13

9783030959562

Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups

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

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Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups

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

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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Page Count

221

Publisher

Springer Nature

Published Date

ISBN 10

3030959562

ISBN 13

9783030959562

The Essential

Pablo Picasso

By: Abrams

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The Essential

Pablo Picasso

By: Abrams

Describes the artistic career and major works of Pablo Picasso.

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Page Count

112

Publisher

Harry N. Abrams

Published Date

ISBN 10

0810958201

ISBN 13

9780810958203

Guernica

The 42 Preliminary Studies on Paper Reproduced in Facsimile

By: Pablo Picasso,Marie-Laure Bernadac

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Guernica

The 42 Preliminary Studies on Paper Reproduced in Facsimile

By: Pablo Picasso,Marie-Laure Bernadac

ART & ARCHITECTURE

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Page Count

20

Published Date

ISBN 10

0810949865

ISBN 13

9780810949867