Regular Subgroups of Primitive Permutation Groups PDF Download
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Author: Martin W. Liebeck
Publisher: American Mathematical Soc.
ISBN: 082184654X
Category : Finite simple groups
Languages : en
Pages : 87
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Book Description
Addresses the classical problem of determining finite primitive permutation groups G with a regular subgroup B.
Author: Martin W. Liebeck
Publisher: American Mathematical Soc.
ISBN: 082184654X
Category : Finite simple groups
Languages : en
Pages : 87
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Book Description
Addresses the classical problem of determining finite primitive permutation groups G with a regular subgroup B.
Author: Martin W. Liebeck
Publisher: American Mathematical Soc.
ISBN: 0821866931
Category : Mathematics
Languages : en
Pages : 87
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Book Description
Author: Helmut Wielandt
Publisher: Academic Press
ISBN: 1483258297
Category : Mathematics
Languages : en
Pages : 124
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Book Description
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.
Author: Helmut Wielandt
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 78
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Book Description
Author: Mark W. Short
Publisher: Springer
ISBN: 3540471200
Category : Mathematics
Languages : en
Pages : 153
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Book Description
This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. A description is obtained for the primitive soluble permutation groups of prime-squared degree and a partial description obtained for prime-cubed degree. These descriptions are easily converted to algorithms for enumerating appropriate representatives of the groups. The descriptions for degrees 34 (die vier hochgestellt, Sonderzeichen) and 26 (die sechs hochgestellt, Sonderzeichen) are obtained partly by theory and partly by machine, using the software system Cayley. The material is appropriate for people interested in soluble groups who also have some familiarity with the basic techniques of representation theory. This work complements the substantial work already done on insoluble primitive permutation groups.
Author: Peter J. Cameron
Publisher: Cambridge University Press
ISBN: 9780521653787
Category : Mathematics
Languages : en
Pages : 236
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Book Description
This book summarizes recent developments in the study of permutation groups for beginning graduate students.
Author: John D. Dixon
Publisher: Springer Science & Business Media
ISBN: 1461207312
Category : Mathematics
Languages : en
Pages : 360
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Book Description
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.
Author: Andrew Martin William Glass
Publisher: Cambridge University Press
ISBN: 0521241901
Category : Mathematics
Languages : en
Pages : 333
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Book Description
As a result of the work of the nineteenth-century mathematician Arthur Cayley, algebraists and geometers have extensively studied permutation of sets. In the special case that the underlying set is linearly ordered, there is a natural subgroup to study, namely the set of permutations that preserves that order. In some senses. these are universal for automorphisms of models of theories. The purpose of this book is to make a thorough, comprehensive examination of these groups of permutations. After providing the initial background Professor Glass develops the general structure theory, emphasizing throughout the geometric and intuitive aspects of the subject. He includes many applications to infinite simple groups, ordered permutation groups and lattice-ordered groups. The streamlined approach will enable the beginning graduate student to reach the frontiers of the subject smoothly and quickly. Indeed much of the material included has never been available in book form before, so this account should also be useful as a reference work for professionals.
Author: Ákos Seress
Publisher: Cambridge University Press
ISBN: 9780521661034
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Table of contents
Author: Meenaxi Bhattacharjee
Publisher: Springer Science & Business Media
ISBN: 9783540649656
Category : Mathematics
Languages : en
Pages : 224
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Book Description
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.
