Computational And Experimental Group Theory

Author : Alexandre Borovik
Publisher : American Mathematical Soc.
ISBN 13 : 0821834835
Total Pages : 234 pages
Book Rating : 4.31/5 ( download)

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Download or read book Computational and Experimental Group Theory written by Alexandre Borovik and published by American Mathematical Soc.. This book was released on 2004 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of algorithmic group theory shifted from the decidability/undecidability type of result to the complexity of algorithms. This title contains papers that reflect that paradigm shift. It presents articles that are based on the AMS/ASL Joint Special Session, Interactions Between Logic, Group Theory and Computer Science.

Author : Derek F. Holt
Publisher : CRC Press
ISBN 13 : 1420035215
Total Pages : 532 pages
Book Rating : 4.16/5 ( download)

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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

Author : Robert H. Gilman
Publisher : American Mathematical Soc.
ISBN 13 : 0821831585
Total Pages : 138 pages
Book Rating : 4.88/5 ( download)

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Download or read book Computational and Statistical Group Theory written by Robert H. Gilman and published by American Mathematical Soc.. This book was released on 2002 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Frédérique Bassino
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110667029
Total Pages : 386 pages
Book Rating : 4.28/5 ( download)

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Download or read book Complexity and Randomness in Group Theory written by Frédérique Bassino and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.

Author : Alexei G. Myasnikov
Publisher : American Mathematical Soc.
ISBN 13 : 0821834444
Total Pages : 186 pages
Book Rating : 4.42/5 ( download)

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Download or read book Group Theory, Statistics, and Cryptography written by Alexei G. Myasnikov and published by American Mathematical Soc.. This book was released on 2004 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York University. Readers will find a variety of contributions, including survey papers on applications of group theory in cryptography, research papers on various aspects of statistical group theory, and papers on more traditional combinatorial group theory. The book is suitable for graduate students and research mathematicians interested in group theory and its applications to cryptography.

Author : José Burillo
Publisher : American Mathematical Soc.
ISBN 13 : 0821833626
Total Pages : 242 pages
Book Rating : 4.29/5 ( download)

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Download or read book Geometric Methods in Group Theory written by José Burillo and published by American Mathematical Soc.. This book was released on 2005 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain). The expository and survey articles in the book cover a wide range of topics, making it suitable for researchers and graduate students interested in group theory.

Author : R. I. Grigorchuk
Publisher : American Mathematical Soc.
ISBN 13 : 0821837567
Total Pages : 248 pages
Book Rating : 4.66/5 ( download)

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Download or read book Topological and Asymptotic Aspects of Group Theory written by R. I. Grigorchuk and published by American Mathematical Soc.. This book was released on 2006 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory, such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.

Author : Ali Enayat
Publisher : American Mathematical Soc.
ISBN 13 : 0821835351
Total Pages : 184 pages
Book Rating : 4.57/5 ( download)

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Download or read book Nonstandard Models of Arithmetic and Set Theory written by Ali Enayat and published by American Mathematical Soc.. This book was released on 2004 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD). The volume opens with an essay from Haim Gaifman that probes the concept of non-standardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of function, and non-Euclidean geometries. Other articles in the book present results related to nonstandard models in arithmetic and set theory, including a survey of known results on the Turing upper bounds of arithmetic sets and functions. The volume is suitable for graduate students and research mathematicians interested in logic, especially model theory.

Author : Luise-Charlotte Kappe, Robert Fitzgerald Morse, Arturo Magidin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821857984
Total Pages : 300 pages
Book Rating : 4.83/5 ( download)

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Download or read book Computational Group Theory and the Theory of Groups written by Luise-Charlotte Kappe, Robert Fitzgerald Morse, Arturo Magidin and published by American Mathematical Soc.. This book was released on 2008-10-03 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Luise-Charlotte Kappe
Publisher : American Mathematical Soc.
ISBN 13 : 0821848054
Total Pages : 210 pages
Book Rating : 4.50/5 ( download)

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Download or read book Computational Group Theory and the Theory of Groups, II written by Luise-Charlotte Kappe and published by American Mathematical Soc.. This book was released on 2010-04-08 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions by researchers who were invited to the Harlaxton Conference on Computational Group Theory and Cohomology, held in August of 2008, and to the AMS Special Session on Computational Group Theory, held in October 2008. This volume showcases examples of how Computational Group Theory can be applied to a wide range of theoretical aspects of group theory. Among the problems studied in this book are classification of p-groups, covers of Lie groups, resolutions of Bieberbach groups, and the study of the lower central series of free groups. This volume also includes expository articles on the probabilistic zeta function of a group and on enumerating subgroups of symmetric groups. Researchers and graduate students working in all areas of Group Theory will find many examples of how Computational Group Theory helps at various stages of the research process, from developing conjectures through the verification stage. These examples will suggest to the mathematician ways to incorporate Computational Group Theory into their own research endeavors.