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Computational and Statistical Group Theory
 
Edited by: Robert Gilman Stevens Institute of Technology, Hoboken, NJ
Alexei G. Myasnikov New York City, NY
Vladimir Shpilrain City College of New York (CUNY), NY, NY
Computational and Statistical Group Theory
eBook ISBN:  978-0-8218-7888-0
Product Code:  CONM/298.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Computational and Statistical Group Theory
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Computational and Statistical Group Theory
Edited by: Robert Gilman Stevens Institute of Technology, Hoboken, NJ
Alexei G. Myasnikov New York City, NY
Vladimir Shpilrain City College of New York (CUNY), NY, NY
eBook ISBN:  978-0-8218-7888-0
Product Code:  CONM/298.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2982002; 124 pp
    MSC: Primary 20; 43; 57; 60; 68;

    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.

    Readership

    Graduate students and research mathematicians interested in group theory.

  • Table of Contents
     
     
    • Articles
    • Roger C. Alperin and Guennadi A. Noskov — Uniform growth, actions on trees and ${\rm GL}_2$ [ MR 1929712 ]
    • Alexandre V. Borovik — Centralisers of involutions in black box groups [ MR 1929713 ]
    • Alexandre V. Borovik, Alexei G. Myasnikov and Vladimir Shpilrain — Measuring sets in infinite groups [ MR 1929714 ]
    • Eric M. Freden — Quantum one-way automata and finitely generated groups [ MR 1929715 ]
    • Rostislav I. Grigorchuk and Andrzej Żuk — Spectral properties of a torsion-free weakly branch group defined by a three state automaton [ MR 1929716 ]
    • Toshiaki Jitsukawa — Malnormal subgroups of free groups [ MR 1929717 ]
    • C. R. Leedham-Green and Scott H. Murray — Variants of product replacement [ MR 1929718 ]
    • Denis V. Osin — Weakly amenable groups [ MR 1929719 ]
    • Charles C. Sims — The Knuth-Bendix procedure for strings and large rewriting systems [ MR 1929720 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2982002; 124 pp
MSC: Primary 20; 43; 57; 60; 68;

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.

Readership

Graduate students and research mathematicians interested in group theory.

  • Articles
  • Roger C. Alperin and Guennadi A. Noskov — Uniform growth, actions on trees and ${\rm GL}_2$ [ MR 1929712 ]
  • Alexandre V. Borovik — Centralisers of involutions in black box groups [ MR 1929713 ]
  • Alexandre V. Borovik, Alexei G. Myasnikov and Vladimir Shpilrain — Measuring sets in infinite groups [ MR 1929714 ]
  • Eric M. Freden — Quantum one-way automata and finitely generated groups [ MR 1929715 ]
  • Rostislav I. Grigorchuk and Andrzej Żuk — Spectral properties of a torsion-free weakly branch group defined by a three state automaton [ MR 1929716 ]
  • Toshiaki Jitsukawa — Malnormal subgroups of free groups [ MR 1929717 ]
  • C. R. Leedham-Green and Scott H. Murray — Variants of product replacement [ MR 1929718 ]
  • Denis V. Osin — Weakly amenable groups [ MR 1929719 ]
  • Charles C. Sims — The Knuth-Bendix procedure for strings and large rewriting systems [ MR 1929720 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.