Group Theory And Computation


Group Theory And Computation
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Handbook Of Computational Group Theory


Handbook Of Computational Group Theory
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Author : Derek F. Holt
language : en
Publisher: CRC Press
Release Date : 2005-01-13

Handbook Of Computational Group Theory written by Derek F. Holt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-13 with Mathematics categories.


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



Group Theory And Computation


Group Theory And Computation
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Author : N.S. Narasimha Sastry
language : en
Publisher: Springer
Release Date : 2018-09-21

Group Theory And Computation written by N.S. Narasimha Sastry and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-21 with Mathematics categories.


This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.



Computational And Statistical Group Theory


Computational And Statistical Group Theory
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Author : Robert H. Gilman
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Computational And Statistical Group Theory written by Robert H. Gilman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Combinatorial group theory categories.


This book gives a nice overview of the diversity of current trends in computational and statistical group theory. It presents the latest research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms, quantum automata, and more. It includes contributions by speakers at AMS Special Sessions at The University of Nevada (Las Vegas) and the Stevens Institute of Technology (Hoboken, NJ). It is suitable for graduate students and research mathematicians interested in group theory.



Computational Group Theory


Computational Group Theory
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Author : Michael D. Atkinson
language : en
Publisher:
Release Date : 1984

Computational Group Theory written by Michael D. Atkinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.




Computational Group Theory And The Theory Of Groups


Computational Group Theory And The Theory Of Groups
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Author : Luise-Charlotte Kappe, Robert Fitzgerald Morse, Arturo Magidin
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-10-03

Computational Group Theory And The Theory Of Groups written by Luise-Charlotte Kappe, Robert Fitzgerald Morse, Arturo Magidin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-03 with Computational complexity categories.


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.



Computational Group Theory And The Theory Of Groups


Computational Group Theory And The Theory Of Groups
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Author : AMS Special Session on Computational Group Theory
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Computational Group Theory And The Theory Of Groups written by AMS Special Session on Computational Group Theory and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computational complexity categories.


"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."--BOOK JACKET.



Groups And Computation Iii


Groups And Computation Iii
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Author : William M. Kantor
language : en
Publisher: Walter de Gruyter
Release Date : 2014-01-02

Groups And Computation Iii written by William M. Kantor and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-02 with Mathematics categories.


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.



Computational Group Theory And The Theory Of Groups Ii


Computational Group Theory And The Theory Of Groups Ii
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Author : Robert Fitzgerald Morse
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Computational Group Theory And The Theory Of Groups Ii written by Robert Fitzgerald Morse and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computational complexity categories.




Probabilistic Group Theory Combinatorics And Computing


Probabilistic Group Theory Combinatorics And Computing
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Author : Alla Detinko
language : en
Publisher: Springer
Release Date : 2013-01-13

Probabilistic Group Theory Combinatorics And Computing written by Alla Detinko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-13 with Mathematics categories.


Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brún Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that have recently emerged at the interface of group theory and combinatorics, with a strong focus on probabilistic methods and results. The courses served as a forum for devising new strategic approaches and for discussing the main open problems to be solved in the further development of each area. The book represents a valuable resource for advanced lecture courses. Researchers at all levels are introduced to the main methods and the state-of-the-art, leading up to the very latest developments. One primary aim of the book’s approach and design is to enable postgraduate students to make immediate use of the material presented.



Computation With Finitely Presented Groups


Computation With Finitely Presented Groups
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Author : Charles C. Sims
language : en
Publisher: Cambridge University Press
Release Date : 1994-01-28

Computation With Finitely Presented Groups written by Charles C. Sims and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-28 with Mathematics categories.


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.