Computational and Statistical Group Theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey

By: Robert Gilman, Alexei G. Myasnikov, Vladimir Shpilran

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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.

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You Can Find This Book In

Non-Fiction Mathematics Combinatorics & Graph Theory Groups & Group Theory Topology Algebraic Topology Calculus & Mathematical Analysis Probability & Statistics Mathematical Foundation Set Theory

Preface	p. vii
Uniform growth, actions on trees and GL[subscript 2]	p. 1
Centralisers of involutions in black box groups	p. 7
Measuring sets in infinite groups	p. 21
Quantum one-way automata and finitely generated groups	p. 43
Spectral properties of a torsion-free weakly branch group defined by a three state automation	p. 57
Malnormal subgroups of free groups	p. 83
Variants of product replacement	p. 97
Weakly amenable groups	p. 105
The Knuth-Bendix procedure for strings and large rewriting systems	p. 115
Table of Contents provided by Syndetics. All Rights Reserved.

Computational and Statistical Group Theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey

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