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Product Code:  CONM/264.E 
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Book DetailsContemporary MathematicsVolume: 264; 2000; 305 ppMSC: 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 uptodate reference source for contemporary researchers in the field.ReadershipGraduate 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  GröbnerShirshov bases and composition lemma for associative conformal algebras: an example [ MR 1800688 ]

Y. Fong  Derivations in nearring theory [ MR 1800689 ]

Alexander A. Mikhalev and JieTai Yu  Automorphic orbits of elements of free algebras with the NielsenSchreier 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 onesided 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 JieTai 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 AbhyankarSathaye 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 JieTai 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 ]

WenChing Winnie Li  Various constructions of good codes [ MR 1800701 ]

ManKeung Siu  Combinatorics and algebra: a medley of problems? A medley of techniques? [ MR 1800702 ]


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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 uptodate reference source for contemporary researchers in the field.
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  GröbnerShirshov bases and composition lemma for associative conformal algebras: an example [ MR 1800688 ]

Y. Fong  Derivations in nearring theory [ MR 1800689 ]

Alexander A. Mikhalev and JieTai Yu  Automorphic orbits of elements of free algebras with the NielsenSchreier 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 onesided 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 JieTai 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 AbhyankarSathaye 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 JieTai 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 ]

WenChing Winnie Li  Various constructions of good codes [ MR 1800701 ]

ManKeung Siu  Combinatorics and algebra: a medley of problems? A medley of techniques? [ MR 1800702 ]