Title Computational and Statistical Group Theory

Published Providence : American Mathematical Society, 2002

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Description 1 online resource (138 pages) Series Contemporary Mathematics ; v. 298 Contemporary Mathematics Contents Contents -- Preface -- Uniform growth, actions on trees and GL2 -- Centralisers of involutions in black box groups -- Measuring sets in infinite groups -- 1. Introduction -- 2. Conditions on a measure -- 3. Atomic probability measures -- 4. Kolmogorov complexity functions -- 5. Kolmogorov complexity functions on finitely generated groups -- 6. Short elements bias and behaviour at infinity -- 7. Degrees of polynomial growth on average -- 8. Measures generated by random walks -- 9. Behaviour of the induced measures on finite factor groups 10. The growth function and asymptotic densityReferences -- Quantum one-way automata and finitely generated groups -- Spectral properties of a torsion-free weakly branch group defined by a three state automaton -- Malnormal subgroups of free groups -- Variants of product replacement -- Weakly amenable groups -- The Knuth-Bendix procedure for strings and large rewriting systems Notes English Print version record Subject Group theory -- Data processing -- Congresses Finite groups -- Data processing -- Congresses Combinatorial group theory -- Data processing -- Congresses Combinatorial group theory -- Data processing Finite groups -- Data processing Group theory -- Data processing Genre/Form Conference papers and proceedings Form Electronic book Author Myasnikov, Alexei G Shpilrain, Vladimir ISBN 9780821878880 0821878883

Other Titles Contemporary Mathematics Contemporary Mathematics, Volume 298 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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