computation with finitely presented groups encyclopedia of mathematics and its applications

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Computation With Finitely Presented Groups

Author : Charles C. Sims
ISBN : 0521432138
Genre : Mathematics
File Size : 66. 97 MB
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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.

Computational And Geometric Aspects Of Modern Algebra

Author : Michael Atkinson
ISBN : 0521788897
Genre : Mathematics
File Size : 63. 56 MB
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A collection of papers from leading researchers in algebra and geometric group theory.

Computational Group Theory And The Theory Of Groups

Author : Luise-Charlotte Kappe
ISBN : 9780821843659
Genre : Mathematics
File Size : 72. 33 MB
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The power of general purpose computational algebra systems running on personal computers has increased rapidly in recent years. For mathematicians doing research in group theory, this means a growing set of sophisticated computational tools are now available for their use in developing new theoretical results. This volume consists of contributions by researchers invited to the AMS Special Session on Computational Group Theory held in March 2007. The main focus of the session was on the application of Computational Group Theory (CGT) to a wide range of theoretical aspects of group theory.The articles in this volume provide a variety of examples of how these computer systems helped to solve interesting theoretical problems within the discipline, such as constructions of finite simple groups, classification of $p$-groups via coclass, representation theory and constructions involving free nilpotent groups. The volume also includes an article by R. F. Morse highlighting applications of CGT in group theory and two survey articles. Graduate students and researchers interested in various aspects of group theory will find many examples of Computational Group Theory helping research and will recognize it as yet another tool at their disposal.

Applications Of Fibonacci Numbers

Author : Fredric T. Howard
ISBN : 1402019386
Genre : Computers
File Size : 28. 45 MB
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This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications. These articles have been selected after a careful review by expert referees, and they range over many areas of mathematics. The Fibonacci numbers and recurrence relations are their unifying bond. We note that the article "Fibonacci, Vern and Dan," which follows the Introduction to this volume, is not a research paper. It is a personal reminiscence by Marjorie Bicknell-Johnson, a longtime member of the Fibonacci Association. The editor believes it will be of interest to all readers. It is anticipated that this book, like the eight predecessors, will be useful to research workers and students at all levels who are interested in the Fibonacci numbers and their applications. March 16, 2003 The Editor Fredric T. Howard Mathematics Department Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC 27109 xxi THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Calvin Long, Chairman A. F. Horadam (Australia), Co-Chair Terry Crites A. N. Philippou (Cyprus), Co-Chair Steven Wilson A. Adelberg (U. S. A. ) C. Cooper (U. S. A. ) Jeff Rushal H. Harborth (Germany) Y. Horibe (Japan) M. Bicknell-Johnson (U. S. A. ) P. Kiss (Hungary) J. Lahr (Luxembourg) G. M. Phillips (Scotland) J. 'Thrner (New Zealand) xxiii xxiv LIST OF CONTRlBUTORS TO THE CONFERENCE * ADELBERG, ARNOLD, "Universal Bernoulli Polynomials and p-adic Congruences. " *AGRATINI, OCTAVIAN, "A Generalization of Durrmeyer-Type Polynomials. " BENJAMIN, ART, "Mathemagics.

Applied Finite Group Actions

Author : Adalbert Kerber
ISBN : 9783662111673
Genre : Mathematics
File Size : 55. 46 MB
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Written by one of the top experts in the fields of combinatorics and representation theory, this book distinguishes itself from the existing literature by its applications-oriented point of view. The second edition is extended, placing more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described.

An Algebraic Introduction To K Theory

Author : Bruce A. Magurn
ISBN : 0521800781
Genre : Mathematics
File Size : 35. 16 MB
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An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.


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ISBN : UOM:39015060979542
Genre : Mathematics
File Size : 29. 30 MB
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Proceedings Of The International Symposium Symbolic And Algebraic Computation

Author : Bernard Mourrain
ISBN : 1581134177
Genre : Mathematics
File Size : 29. 18 MB
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Applied Cryptography And Network Security

Author : John Ioannidis
ISBN : UOM:39015058750814
Genre : Business & Economics
File Size : 68. 60 MB
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This book constitutes the refereed proceedings of the Third International Conference on Applied Cryptography and Network Security, ACNS 2005, held in New York, NY, USA in June 2005. The 35 revised full papers presented were carefully reviewed and selected from 158 submissions. Among the topics covered are authentication, key exchange protocols, network denial of service, digital signatures, public key cryptography, MACs, forensics, intrusion detection, secure channels, identity-based encryption, network security analysis, DES, key extraction, homomorphic encryption, and zero-knowledge arguments.

Groups And Computation Iii

Author : William M. Kantor
ISBN : 9783110872743
Genre : Mathematics
File Size : 89. 12 MB
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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.

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