An Algorithm For The Enumeration Of Cosets Of Finite Groups

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Computational Problems in Abstract Algebra

Author : John Leech
Publisher : Elsevier
ISBN 13 : 1483159426
Total Pages : 413 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Computational Problems in Abstract Algebra by : John Leech

Download or read book Computational Problems in Abstract Algebra written by John Leech and published by Elsevier. This book was released on 2014-05-17 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Problems in Abstract Algebra provides information pertinent to the application of computers to abstract algebra. This book discusses combinatorial problems dealing with things like generation of permutations, projective planes, orthogonal latin squares, graphs, difference sets, block designs, and Hadamard matrices. Comprised of 35 chapters, this book begins with an overview of the methods utilized in and results obtained by programs for the investigation of groups. This text then examines the method for establishing the order of a finite group defined by a set of relations satisfied by its generators. Other chapters describe the modification of the Todd–Coxeter coset enumeration process. This book discusses as well the difficulties that arise with multiplication and inverting programs, and of some ways to avoid or overcome them. The final chapter deals with the computational problems related to invariant factors in linear algebra. Mathematicians as well as students of algebra will find this book useful.

Symmetric Generation of Groups

Author : Robert Curtis
Publisher : Cambridge University Press
ISBN 13 : 052185721X
Total Pages : 333 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Symmetric Generation of Groups by : Robert Curtis

Download or read book Symmetric Generation of Groups written by Robert Curtis and published by Cambridge University Press. This book was released on 2007-07-05 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.

Proceedings of the Second International Conference on the Theory of Groups

Author : M. F. Newman
Publisher : Springer
ISBN 13 : 3540378014
Total Pages : 746 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Proceedings of the Second International Conference on the Theory of Groups by : M. F. Newman

Download or read book Proceedings of the Second International Conference on the Theory of Groups written by M. F. Newman and published by Springer. This book was released on 2013-11-11 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This volume consists of papers presented to the Second International Conference on the Theory of Groups held in Canberra in August 1973 together with areport by the chairman of the Organizing Committee and a collection of problems. The manuscripts were typed by Mrs Geary, the bulk of the bibliographie work was done by Mrs Pinkerton, and a number of colleagues helped with proof-reading; Professor Neumann, Drs Cossey, Kovacs, MeDougall, Praeger, Pride, Rangaswamy and Stewart. I here reeord my thanks to all these people for their lightening of the editorial burden. M.F. Newrnan CONTENTS 1 Introduction . . 8 yan, Periodic groups of odd exponent Reinhold Baer, Einbettungseigenschaften von Normalteilern: der Schluss vom 13 Endlichen aufs Unendliche D.W. Barnes, Characterisation of the groups with the Gaschutz cohomology property 63 Gi Ibert Baumslag, Finitely presented metabe1ian groups 65 Gi Ibert Baumslag, Some problems on one-relator groups 75 A.J. Ba, J. Kautsky and J.W. Wamsley, Computation in nilpotent groups (application) 82 Wi I I iam W. Boone, Between logic and group theory 90 Richard Brauer, On the structure of blocks of characters of finite groups 103 A.M. Brunner, Transitivity-systems of certain one-relator groups 131 Egg8r M. Bryant, Characteristic subgroups of free groups 141 y, Metabe1ian varieties of groups 150 R.A. Bryce and John Cossey, Subdirect product c10sed Fitting c1asses 158 R.G."

Computing and Combinatorics

Author : Xiaodong Hu
Publisher : Springer
ISBN 13 : 3540697330
Total Pages : 692 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Computing and Combinatorics by : Xiaodong Hu

Download or read book Computing and Combinatorics written by Xiaodong Hu and published by Springer. This book was released on 2008-06-19 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 14th Annual International Computing and Combinatorics Conference, COCOON 2008, held in Dalian, China, in June 2008. The 66 revised full papers presented were carefully reviewed and selected from 172 submissions. The papers are organized in topical sections on algorithms and data structures, algorithmic game theory and online algorithms, automata, languages, logic, and computability, combinatorics related to algorithms and complexity, complexity theory, cryptography, reliability and security, and database theory, computational biology and bioinformatics, computational algebra, geometry, and number theory, graph drawing and information visualization, graph theory and algorithms, communication networks, and optimization, wireless network, network optimization, and scheduling problem.

Groups - St Andrews 1981

Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 0521289742
Total Pages : 393 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Groups - St Andrews 1981 by : C. M. Campbell

Download or read book Groups - St Andrews 1981 written by C. M. Campbell and published by Cambridge University Press. This book was released on 1982-10-28 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected papers from the international conference 'Groups - St Andrews 1981', which was held at the University of St Andrews in July/August 1981. Its contents reflect the main topics of the conference: combinatorial group theory; infinite groups; general groups, finite or infinite; computational group theory. Four courses, each providing a five-lecture survey, given by J. Neubuser (Aachen), D. J. S. Robinson (Illinois), S. J. Tobin (Galway) and J. Wiengold (Cardiff), have been expanded into articles, forming the first part of the book. The second part consists of surveys and research articles written by other conference participants. More than two-thirds of the book is composed of survey articles providing a remarkably clear and up-to-date picture of those areas of group theory. The articles which comprise this book, together with their extensive bibliographies, will prove an invaluable tool to researchers in group theory, and, in addition, their detailed expositions make them very suitable for relevant postgraduate courses.

Computation with Finitely Presented Groups

Author : Charles C. Sims
Publisher : Cambridge University Press
ISBN 13 : 0521432138
Total Pages : 624 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Computation with Finitely Presented Groups by : Charles C. Sims

Download or read book Computation with Finitely Presented Groups written by Charles C. Sims and published by Cambridge University Press. This book was released on 1994-01-28 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.

Groups St Andrews 2001 in Oxford: Volume 1

Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 9781139437219
Total Pages : 316 pages
Book Rating : 4.4/5 (372 download)

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Book Synopsis Groups St Andrews 2001 in Oxford: Volume 1 by : C. M. Campbell

Download or read book Groups St Andrews 2001 in Oxford: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2003-11-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Marston Conder (Auckland), Persi Diaconis (Stanford) and Marcus Du Sautoy (Cambridge). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.

Finitely Presented Groups

Author : Volker Diekert
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111473570
Total Pages : 252 pages
Book Rating : 4.1/5 (114 download)

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Book Synopsis Finitely Presented Groups by : Volker Diekert

Download or read book Finitely Presented Groups written by Volker Diekert and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-10-07 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.

Groups and Computation III

Author : William M. Kantor
Publisher : Walter de Gruyter
ISBN 13 : 3110872749
Total Pages : 376 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Groups and Computation III by : William M. Kantor

Download or read book Groups and Computation III written by William M. Kantor and published by Walter de Gruyter. This book was released on 2014-01-02 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions by the participants of the conference "Groups and Computation", which took place at The Ohio State University in Columbus, Ohio, in June 1999. This conference was the successor of two workshops on "Groups and Computation" held at DIMACS in 1991 and 1995. There are papers on permutation group algorithms, finitely presented groups, polycyclic groups, and parallel computation, providing a representative sample of the breadth of Computational Group Theory. On the other hand, more than one third of the papers deal with computations in matrix groups, giving an in-depth treatment of the currently most active area of the field. The points of view of the papers range from explicit computations to group-theoretic algorithms to group-theoretic theorems needed for algorithm development.

The Santa Cruz Conference on Finite Groups

Author : Bruce Cooperstein
Publisher : American Mathematical Soc.
ISBN 13 : 0821814400
Total Pages : 654 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Santa Cruz Conference on Finite Groups by : Bruce Cooperstein

Download or read book The Santa Cruz Conference on Finite Groups written by Bruce Cooperstein and published by American Mathematical Soc.. This book was released on 1980 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Group Theoretical Methods and Applications to Molecules and Crystals

Author : Shoon K. Kim
Publisher : Cambridge University Press
ISBN 13 : 0521640628
Total Pages : 512 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Group Theoretical Methods and Applications to Molecules and Crystals by : Shoon K. Kim

Download or read book Group Theoretical Methods and Applications to Molecules and Crystals written by Shoon K. Kim and published by Cambridge University Press. This book was released on 1999-06-24 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the pioneering author in the field, this book is ideal for condensed matter physicists and physical chemists.

The Primitive Soluble Permutation Groups of Degree Less than 256

Author : Mark W. Short
Publisher : Springer
ISBN 13 : 3540471200
Total Pages : 153 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis The Primitive Soluble Permutation Groups of Degree Less than 256 by : Mark W. Short

Download or read book The Primitive Soluble Permutation Groups of Degree Less than 256 written by Mark W. Short and published by Springer. This book was released on 2006-11-15 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Groups St Andrews 2009 in Bath: Volume 1

Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 1139498274
Total Pages : 310 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Groups St Andrews 2009 in Bath: Volume 1 by : C. M. Campbell

Download or read book Groups St Andrews 2009 in Bath: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2011-06-16 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Gerhard Hiss and Volodymyr Nekrashevych, survey the latest developments in algebra.

Computational Support for Discrete Mathematics

Author : Nathaniel Dean
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870617
Total Pages : 416 pages
Book Rating : 4.8/5 (76 download)

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Book Synopsis Computational Support for Discrete Mathematics by : Nathaniel Dean

Download or read book Computational Support for Discrete Mathematics written by Nathaniel Dean and published by American Mathematical Soc.. This book was released on with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: With recent technological advances in workstations, graphics, graphical user interfaces, and object oriented programming languages, a significant number of researchers are developing general-purpose software and integrated software systems for domains in discrete mathematics, including graph theory, combinatorics, combinatorial optimization, and sets. This software aims to provide effective computational tools for research, applications prototyping, and teaching. In March 1992, DIMACS sponsored a workshop on Computational Support for Discrete Mathematics in order to facilitate interactions between the researchers, developers, and educators who work in these areas. Containing refereed papers based on talks presented at the workshop, this volume documents current and past research in these areas and should provide impetus for new interactions.

Toward Teraflop Computing and New Grand Challenge Applications

Author : R. K. Kalia
Publisher : Nova Biomedical Books
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Toward Teraflop Computing and New Grand Challenge Applications by : R. K. Kalia

Download or read book Toward Teraflop Computing and New Grand Challenge Applications written by R. K. Kalia and published by Nova Biomedical Books. This book was released on 1995 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Toward Teraflop Computing & New Grand Challenge Applications Proceedings of the Mardi Gras '94 Conference, February 10-12, 1994 Louisiana State University

Geometric and Computational Perspectives on Infinite Groups

Author : Gilbert Baumslag
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870716
Total Pages : 240 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Geometric and Computational Perspectives on Infinite Groups by : Gilbert Baumslag

Download or read book Geometric and Computational Perspectives on Infinite Groups written by Gilbert Baumslag and published by American Mathematical Soc.. This book was released on with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of two workshops on computational aspects of geometric group theory.

Handbook of Computational Group Theory

Author : Derek F. Holt
Publisher : CRC Press
ISBN 13 : 1420035215
Total Pages : 532 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Computational Group Theory by : Derek F. Holt

Download or read book Handbook of Computational Group Theory written by Derek F. Holt and published by CRC Press. This book was released on 2005-01-13 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundame