Computational Group Theory and the Theory of Groups

Computational Group Theory and the Theory of Groups

by Luise-Charlotte Kappe, Arturo Magidin, Robert Fitzgerald Morse
     
 

ISBN-10: 0821843656

ISBN-13: 9780821843659

Pub. Date: 11/02/2008

Publisher: American Mathematical Society

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

Overview

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.

Product Details

ISBN-13:
9780821843659
Publisher:
American Mathematical Society
Publication date:
11/02/2008
Series:
Contemporary Mathematics Series, #470
Pages:
286
Product dimensions:
6.90(w) x 10.00(h) x 0.70(d)

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