Finite Permutation Groups
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Finite Permutation Groups
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Author : Helmut Wielandt
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Finite Permutation Groups written by Helmut Wielandt and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Finite Permutation Groups provides an introduction to the basic facts of both the theory of abstract finite groups and the theory of permutation groups. This book deals with older theorems on multiply transitive groups as well as on simply transitive groups. Organized into five chapters, this book begins with an overview of the fundamental concepts of notation and Frobenius group. This text then discusses the modifications of multiple transitivity and can be used to deduce an improved form of the classical theorem. Other chapters consider the concept of simply transitive permutation groups. This book discusses as well permutation groups in the framework of representation theory. The final chapter deals with Frobenius' theory of group characters. This book is a valuable resource for engineers, mathematicians, and research workers. Graduate students and readers who are interested in finite permutation groups will also find this book useful.
Finite Permutation Groups
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Author : Helmut Wielandt
language : en
Publisher:
Release Date : 1964
Finite Permutation Groups written by Helmut Wielandt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Permutation Groups
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Author : Peter J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1999-02-04
Permutation Groups written by Peter J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-04 with Mathematics categories.
This book summarizes recent developments in the study of permutation groups for beginning graduate students.
Permutation Groups
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Author : John D. Dixon
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Permutation Groups written by John D. Dixon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
Finite Permutation Groups Translated From The German By R Bercov
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Author : Helmut Wielandt
language : en
Publisher:
Release Date : 1964
Finite Permutation Groups Translated From The German By R Bercov written by Helmut Wielandt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Group theory categories.
Cherlin S Conjecture For Finite Primitive Binary Permutation Groups
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Author : Nick Gill
language : en
Publisher: Springer Nature
Release Date : 2022-06-17
Cherlin S Conjecture For Finite Primitive Binary Permutation Groups written by Nick Gill and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-17 with Mathematics categories.
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.
Notes On Infinite Permutation Groups
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Author : Meenaxi Bhattacharjee
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-20
Notes On Infinite Permutation Groups written by Meenaxi Bhattacharjee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-20 with Mathematics categories.
The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.
Oligomorphic Permutation Groups
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Author : Peter J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1990-06-29
Oligomorphic Permutation Groups written by Peter J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-06-29 with Mathematics categories.
The study of permutations groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. This book discusses such structures, their substructures and their automorphism groups using a wide range of techniques.
Permutation Groups
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Author : Donald S. Passman
language : en
Publisher: Courier Corporation
Release Date : 2013-10-03
Permutation Groups written by Donald S. Passman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Mathematics categories.
Lecture notes by a prominent authority provide a self-contained account of classification theorems. Includes work of Zassenhaus on Frobenius elements and sharply transitive groups, Huppert's theorem, more. 1968 edition.
Representations Of Permutation Groups
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Author : Adalbert Kerber
language : en
Publisher:
Release Date : 1971
Representations Of Permutation Groups written by Adalbert Kerber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.