Computational and Experimental Group Theory
( Contemporary Mathematics )
Publication series ：Contemporary Mathematics
Author： Alexandre V. Borovik
Publisher： American Mathematical Society
Publication year： 2011
E-ISBN: 9780821879399
P-ISBN(Paperback): 9780821834831
Subject： O1 Mathematics
Keyword： Algebra and Algebraic Geometry
Language： ENG
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Computational and Experimental Group Theory
Description
Since its origin in the early 20th century, combinatorial group theory has been primarily concerned with algorithms for solving particular problems on groups given by generators and relations: word problems, conjugacy problems, isomorphism problems, etc. Recent years have seen the focus of algorithmic group theory shift from the decidability/undecidability type of result to the complexity of algorithms. Papers in this volume reflect that paradigm shift. Articles are based on the AMS/ASL Joint Special Session, Interactions Between Logic, Group Theory and Computer Science. The volume is suitable for graduate students and research mathematicians interested in computational problems of group theory.