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Combinatorial and Computational Algebra
 
Edited by: Kai Yuen Chan University of Hong Kong, Hong Kong, China
Alexander A. Mikhalev University of Hong Kong, Hong Kong, China
Man-Keung Siu University of Hong Kong, Hong Kong, China
Jie-Tai Yu University of Hong Kong, Hong Kong, China
Efim I. Zelmanov Yale University, New Haven, CT
Front Cover for Combinatorial and Computational Algebra
Available Formats:
Electronic ISBN: 978-0-8218-7854-5
Product Code: CONM/264.E
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
Front Cover for Combinatorial and Computational Algebra
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  • Front Cover for Combinatorial and Computational Algebra
  • Back Cover for Combinatorial and Computational Algebra
Combinatorial and Computational Algebra
Edited by: Kai Yuen Chan University of Hong Kong, Hong Kong, China
Alexander A. Mikhalev University of Hong Kong, Hong Kong, China
Man-Keung Siu University of Hong Kong, Hong Kong, China
Jie-Tai Yu University of Hong Kong, Hong Kong, China
Efim I. Zelmanov Yale University, New Haven, CT
Available Formats:
Electronic ISBN:  978-0-8218-7854-5
Product Code:  CONM/264.E
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2642000; 305 pp
    MSC: Primary 05; 08; 12; 13; 14; 17; 20; 26; 68; 94;

    This volume presents articles based on the talks at the International Conference on Combinatorial and Computational Algebra held at the University of Hong Kong (China). The conference was part of the Algebra Program at the Institute of Mathematical Research and the Mathematics Department at the University of Hong Kong. Topics include recent developments in the following areas: combinatorial and computational aspects of group theory, combinatorial and computational aspects of associative and nonassociative algebras, automorphisms of polynomial algebras and the Jacobian conjecture, and combinatorics and coding theory.

    This volume can serve as a solid introductory guide for advanced graduate students, as well as a rich and up-to-date reference source for contemporary researchers in the field.

    Readership

    Graduate students and research mathematicians interested in algebra and combinatorics.

  • Table of Contents
     
     
    • Part I. Combinatorial and Computational Aspects of Group Theory [ MR 1800684 ]
    • Eli Aljadeff and Andy R. Magid - Deformations and liftings of representations [ MR 1800685 ]
    • A. Yu. Ol′shanskii and M. V. Sapir - Embeddings of relatively free groups into finitely presented groups [ MR 1800686 ]
    • Aner Shalev - Fixed point ratios, character ratios, and Cayley graphs [ MR 1800687 ]
    • Part II. Combinatorial and Computational Aspects of Associative and Nonassociative Algebras [ MR 1800684 ]
    • L. A. Bokut, Y. Fong and W.-F. Ke - Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example [ MR 1800688 ]
    • Y. Fong - Derivations in near-ring theory [ MR 1800689 ]
    • Alexander A. Mikhalev and Jie-Tai Yu - Automorphic orbits of elements of free algebras with the Nielsen-Schreier property [ MR 1800690 ]
    • A. V. Mikhalev and I. A. Pinchuk - Universal central extensions of the matrix Lie superalgebras ${\rm sl}(m,n,A)$ [ MR 1800691 ]
    • Günter F. Pilz - The useful world of one-sided distributive systems [ MR 1800692 ]
    • Efim Zelmanov - On the structure of conformal algebras [ MR 1800693 ]
    • Part III. Automorphisms of Polynomial Algebras and the Jacobian Conjecture [ MR 1800684 ]
    • L. Andrew Campbell - Unipotent Jacobian matrices and univalent maps [ MR 1800694 ]
    • Vesselin Drensky and Jie-Tai Yu - Automorphisms and coordinates of polynomial algebras [ MR 1800695 ]
    • Arno van den Essen - On Bass’ inverse degree approach to the Jacobian conjecture and exponential automorphisms [ MR 1800696 ]
    • Arno van den Essen and Peter van Rossum - A note on possible counterexamples to the Abhyankar-Sathaye conjecture constructed by Shpilrain and Yu [ MR 1800697 ]
    • Walter D. Neumann and Penelope G. Wightwick - Algorithms for polynomials in two variables [ MR 1800698 ]
    • Vladimir Shpilrain and Jie-Tai Yu - Peak reduction technique in commutative algebra: a survey [ MR 1800699 ]
    • David Wright - Reversion, trees, and the Jacobian conjecture [ MR 1800700 ]
    • Part IV. Combinatorics and Coding Theory [ MR 1800684 ]
    • Wen-Ching Winnie Li - Various constructions of good codes [ MR 1800701 ]
    • Man-Keung Siu - Combinatorics and algebra: a medley of problems? A medley of techniques? [ MR 1800702 ]
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Volume: 2642000; 305 pp
MSC: Primary 05; 08; 12; 13; 14; 17; 20; 26; 68; 94;

This volume presents articles based on the talks at the International Conference on Combinatorial and Computational Algebra held at the University of Hong Kong (China). The conference was part of the Algebra Program at the Institute of Mathematical Research and the Mathematics Department at the University of Hong Kong. Topics include recent developments in the following areas: combinatorial and computational aspects of group theory, combinatorial and computational aspects of associative and nonassociative algebras, automorphisms of polynomial algebras and the Jacobian conjecture, and combinatorics and coding theory.

This volume can serve as a solid introductory guide for advanced graduate students, as well as a rich and up-to-date reference source for contemporary researchers in the field.

Readership

Graduate students and research mathematicians interested in algebra and combinatorics.

  • Part I. Combinatorial and Computational Aspects of Group Theory [ MR 1800684 ]
  • Eli Aljadeff and Andy R. Magid - Deformations and liftings of representations [ MR 1800685 ]
  • A. Yu. Ol′shanskii and M. V. Sapir - Embeddings of relatively free groups into finitely presented groups [ MR 1800686 ]
  • Aner Shalev - Fixed point ratios, character ratios, and Cayley graphs [ MR 1800687 ]
  • Part II. Combinatorial and Computational Aspects of Associative and Nonassociative Algebras [ MR 1800684 ]
  • L. A. Bokut, Y. Fong and W.-F. Ke - Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example [ MR 1800688 ]
  • Y. Fong - Derivations in near-ring theory [ MR 1800689 ]
  • Alexander A. Mikhalev and Jie-Tai Yu - Automorphic orbits of elements of free algebras with the Nielsen-Schreier property [ MR 1800690 ]
  • A. V. Mikhalev and I. A. Pinchuk - Universal central extensions of the matrix Lie superalgebras ${\rm sl}(m,n,A)$ [ MR 1800691 ]
  • Günter F. Pilz - The useful world of one-sided distributive systems [ MR 1800692 ]
  • Efim Zelmanov - On the structure of conformal algebras [ MR 1800693 ]
  • Part III. Automorphisms of Polynomial Algebras and the Jacobian Conjecture [ MR 1800684 ]
  • L. Andrew Campbell - Unipotent Jacobian matrices and univalent maps [ MR 1800694 ]
  • Vesselin Drensky and Jie-Tai Yu - Automorphisms and coordinates of polynomial algebras [ MR 1800695 ]
  • Arno van den Essen - On Bass’ inverse degree approach to the Jacobian conjecture and exponential automorphisms [ MR 1800696 ]
  • Arno van den Essen and Peter van Rossum - A note on possible counterexamples to the Abhyankar-Sathaye conjecture constructed by Shpilrain and Yu [ MR 1800697 ]
  • Walter D. Neumann and Penelope G. Wightwick - Algorithms for polynomials in two variables [ MR 1800698 ]
  • Vladimir Shpilrain and Jie-Tai Yu - Peak reduction technique in commutative algebra: a survey [ MR 1800699 ]
  • David Wright - Reversion, trees, and the Jacobian conjecture [ MR 1800700 ]
  • Part IV. Combinatorics and Coding Theory [ MR 1800684 ]
  • Wen-Ching Winnie Li - Various constructions of good codes [ MR 1800701 ]
  • Man-Keung Siu - Combinatorics and algebra: a medley of problems? A medley of techniques? [ MR 1800702 ]
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