Complementation Of Normal Subgroups

Author : Joseph Kirtland
Publisher : Walter de Gruyter GmbH & Co KG
Page : 156 pages
File Size : 52,6 Mb
Release : 2017-09-11
Category : Mathematics
ISBN : 9783110480214

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Complementation of Normal Subgroups by Joseph Kirtland Pdf

Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented

Author : Ossie John Huval
Publisher : Unknown
Page : 74 pages
File Size : 54,5 Mb
Release : 1958
Category : Group theory
ISBN : OCLC:1325804537

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On Complementation of Normal Subgroups and on Automorphisms of Groups by Ossie John Huval Pdf

Author : Adolfo Ballester-Bolinches,Luis M. Ezquerro
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 41,5 Mb
Release : 2006-07-10
Category : Mathematics
ISBN : 9781402047190

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Classes of Finite Groups by Adolfo Ballester-Bolinches,Luis M. Ezquerro Pdf

This book covers the latest achievements of the Theory of Classes of Finite Groups. It introduces some unpublished and fundamental advances in this Theory and provides a new insight into some classic facts in this area. By gathering the research of many authors scattered in hundreds of papers the book contributes to the understanding of the structure of finite groups by adapting and extending the successful techniques of the Theory of Finite Soluble Groups.

Author : Marcus du Sautoy,Dan Segal,Aner Shalev
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213802

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New Horizons in pro-p Groups by Marcus du Sautoy,Dan Segal,Aner Shalev Pdf

A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

Author : Peter Jephson Cameron
Publisher : Oxford University Press, USA
Page : 320 pages
File Size : 43,9 Mb
Release : 1998
Category : Mathematics
ISBN : 0198501951

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Introduction to Algebra by Peter Jephson Cameron Pdf

This book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students need, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, asstudents gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, and outline of universal algebra, lattices and categories) and to applications such as Galois theory and coding theory. There is also a chapteroutlining the construction of the number systems from scratch and proving in three different ways that trascendental numbers exist.

Author : Pierre-Emmanuel Caprace,Nicolas Monod
Publisher : Cambridge University Press
Page : 367 pages
File Size : 43,8 Mb
Release : 2018-02-08
Category : Mathematics
ISBN : 9781108413121

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New Directions in Locally Compact Groups by Pierre-Emmanuel Caprace,Nicolas Monod Pdf

A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.

Author : Anonim
Publisher : Unknown
Page : 910 pages
File Size : 42,6 Mb
Release : 1972
Category : Mathematics
ISBN : UCAL:B4488903

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Soviet Mathematics by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1508 pages
File Size : 51,7 Mb
Release : 1992
Category : Mathematicians
ISBN : UCAL:B3006249

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Russian Mathematical Surveys by Anonim Pdf

Author : Hans J. Zassenhaus
Publisher : Courier Corporation
Page : 292 pages
File Size : 53,5 Mb
Release : 2013-09-16
Category : Mathematics
ISBN : 9780486165684

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The Theory of Groups by Hans J. Zassenhaus Pdf

Well-written graduate-level text acquaints reader with group-theoretic methods and demonstrates their usefulness in mathematics. Axioms, the calculus of complexes, homomorphic mapping, p-group theory, more. Many proofs shorter and more transparent than older ones.

Author : Mahmoud Filali
Publisher : Walter de Gruyter GmbH & Co KG
Page : 307 pages
File Size : 45,7 Mb
Release : 2020-08-24
Category : Mathematics
ISBN : 9783110600438

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Banach Algebras and Applications by Mahmoud Filali Pdf

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author : R. A. Bryce,J. Cossey,M. F. Newman
Publisher : Springer
Page : 156 pages
File Size : 52,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540374282

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Group Theory by R. A. Bryce,J. Cossey,M. F. Newman Pdf

Author : American Mathematical Society
Publisher : Unknown
Page : 1036 pages
File Size : 47,8 Mb
Release : 1978
Category : Electronic journals
ISBN : UCAL:B3635504

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Proceedings of the American Mathematical Society by American Mathematical Society Pdf

Contains the material formerly published in even-numbered issues of the Bulletin of the American Mathematical Society.

Author : L. Kurdachenko,Jean-Pierre Otal,I. Subbotin
Publisher : World Scientific
Page : 252 pages
File Size : 55,5 Mb
Release : 2002
Category : Mathematics
ISBN : 9810247834

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Groups with Prescribed Quotient Groups and Associated Module Theory by L. Kurdachenko,Jean-Pierre Otal,I. Subbotin Pdf

Presents well-established results as well as newer, contemporary achievements in this area from the common integral point of view. This view is based on the implementation of module theory for solving group problems.

Author : Anonim
Publisher : Unknown
Page : 756 pages
File Size : 55,8 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015076649907

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Mathematical Reviews by Anonim Pdf

Author : Johan G. F. Belinfante,Bernard Kolman
Publisher : SIAM
Page : 175 pages
File Size : 48,7 Mb
Release : 1989-01-01
Category : Mathematics
ISBN : 1611971330

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A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods by Johan G. F. Belinfante,Bernard Kolman Pdf

Introduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory itself are found throughout the book in material on applications. In this reprint edition, the authors have resisted the temptation of including additional topics. Except for correcting a few minor misprints, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed.