Subnormal Subgroups and Permutation Groups

Subnormal Subgroups and Permutation Groups PDF Author: Helmut Wielandt
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 78

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Book Description

Subnormal Subgroups and Permutation Groups

Subnormal Subgroups and Permutation Groups PDF Author: Helmut Wielandt
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 78

Get Book Here

Book Description


Subnormal Subgroups and Permutation Groups

Subnormal Subgroups and Permutation Groups PDF Author: Helmut Wielandt
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 78

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Book Description


Seminormal and Subnormal Subgroup Lattices for Transitive Permutation Groups

Seminormal and Subnormal Subgroup Lattices for Transitive Permutation Groups PDF Author: Cheryl Praeger (E.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 12

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Book Description


Permutation Groups

Permutation Groups PDF 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.

Subnormal Subgroups of Groups

Subnormal Subgroups of Groups PDF Author: John Carson Lennox
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 280

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Book Description
This book is the first to give a comprehensive account of subnormal subgroups of both finite and infinite groups. The authors trace the subject's historical development, discuss the study of group rings, and encourage further research into problems whose solutions remain incomplete.

Permutation Groups

Permutation Groups PDF Author: Donald S. Passman
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 328

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Book Description


Permutation Groups

Permutation Groups PDF Author: Donald S. Passman
Publisher: Courier Corporation
ISBN: 0486310914
Category : Mathematics
Languages : en
Pages : 162

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Book Description
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.

A Permutation Representation of the Automorphisms of a Group

A Permutation Representation of the Automorphisms of a Group PDF Author: Max Gilbert Gruendl
Publisher:
ISBN:
Category : Finite groups
Languages : en
Pages : 140

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Book Description


A Course in the Theory of Groups

A Course in the Theory of Groups PDF Author: Derek J.S. Robinson
Publisher: Springer Science & Business Media
ISBN: 1441985948
Category : Mathematics
Languages : en
Pages : 518

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Book Description
"An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." —-ACTA SCIENTIARUM MATHEMATICARUM

Notes on Infinite Permutation Groups

Notes on Infinite Permutation Groups PDF Author: Meenaxi Bhattacharjee
Publisher: Springer
ISBN: 3540498133
Category : Mathematics
Languages : en
Pages : 206

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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.