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Cherlin's conjecture for finite prim...

Gill, Nick.

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Cherlin's conjecture for finite primitive binary permutation groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Cherlin's conjecture for finite primitive binary permutation groups/ by Nick Gill, Martin W. Liebeck, Pablo Spiga.
Author:	Gill, Nick.
other author:	Liebeck, M. W.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	ix, 216 p. :ill., digital ;24 cm.
[NT 15003449]:	1. Introduction -- 2. Preliminary Results for Groups of Lie Type -- 3. Exceptional Groups -- 4. Classical Groups.
Contained By:	Springer Nature eBook
Subject:	Lie groups. -
Online resource:	https://doi.org/10.1007/978-3-030-95956-2
ISBN:	9783030959562

Cherlin's conjecture for finite primitive binary permutation groups
Gill, Nick.

Cherlin's conjecture for finite primitive binary permutation groups[electronic resource] /by Nick Gill, Martin W. Liebeck, Pablo Spiga. - Cham :Springer International Publishing :2022. - ix, 216 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23021617-9692 ;. - Lecture notes in mathematics ;v. 2302..

1. Introduction -- 2. Preliminary Results for Groups of Lie Type -- 3. Exceptional Groups -- 4. Classical 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.

ISBN: 9783030959562

Standard No.: 10.1007/978-3-030-95956-2doiSubjects--Topical Terms:

526114
Lie groups.

LC Class. No.: QA387 / .G55 2022

Dewey Class. No.: 512.482

Cherlin's conjecture for finite primitive binary permutation groups
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505 0 $a 1. Introduction -- 2. Preliminary Results for Groups of Lie Type -- 3. Exceptional Groups -- 4. Classical Groups.
520 $a 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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650 1 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Mathematical Logic and Foundations. $3 892656
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700 1 $a Spiga, Pablo. $3 3602234
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