Computational And Experimental Group Theory PDF Download
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| Author | : Alexandre Borovik |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 234 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0821834835 |
Download Computational and Experimental Group Theory Book in PDF, ePub and Kindle
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 |
| Total Pages | : 532 |
| Release | : 2005-01-13 |
| Genre | : Mathematics |
| ISBN | : 1420035215 |
Download Handbook of Computational Group Theory Book in PDF, ePub and Kindle
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. |
| Total Pages | : 138 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 0821831585 |
Download Computational and Statistical Group Theory Book in PDF, ePub and Kindle
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 |
| Total Pages | : 386 |
| Release | : 2020-06-08 |
| Genre | : Mathematics |
| ISBN | : 3110667029 |
Download Complexity and Randomness in Group Theory Book in PDF, ePub and Kindle
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. |
| Total Pages | : 186 |
| Release | : 2004 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0821834444 |
Download Group Theory, Statistics, and Cryptography Book in PDF, ePub and Kindle
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. |
| Total Pages | : 242 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821833626 |
Download Geometric Methods in Group Theory Book in PDF, ePub and Kindle
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. |
| Total Pages | : 248 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821837567 |
Download Topological and Asymptotic Aspects of Group Theory Book in PDF, ePub and Kindle
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. |
| Total Pages | : 184 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0821835351 |
Download Nonstandard Models of Arithmetic and Set Theory Book in PDF, ePub and Kindle
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. |
| Total Pages | : 300 |
| Release | : 2008-10-03 |
| Genre | : Computational complexity |
| ISBN | : 9780821857984 |
Download Computational Group Theory and the Theory of Groups Book in PDF, ePub and Kindle
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 | : Klaus Lux |
| Publisher | : Cambridge University Press |
| Total Pages | : 471 |
| Release | : 2010-07-01 |
| Genre | : Mathematics |
| ISBN | : 1139489186 |
Download Representations of Groups Book in PDF, ePub and Kindle
The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from www.gap-system.org and readers can download source code and solutions to selected exercises from the book's web page.
