Item Details

Combinatorial and Computational Algebra: International Conference on Combinatorial and Computational Algebra, May 24-29, 1999, the University of Hong Kong, Hong Kong SAR, China

Kai Yuen Chan ... [et al.], editors
Format
Book
Published
Providence, RI : American Mathematical Society, 2000.
Language
English
Series
Contemporary Mathematics
Contemporary Mathematics (American Mathematical Society)
ISBN
0821819844 (alk. paper)
Contents
  • Part I. Combinatorial and Computational Aspects of Group Theory
  • Deformations and liftings of representations / Eli Aljadeff, Andy R. Magid 3
  • Embeddings of relatively free groups into finitely presented groups / A. Yu. Ol'shanskii, M. V. Sapir 23
  • Fixed point ratios, character ratios, and Cayley graphs / Aner Shalev 49
  • Part II. Combinatorial and Computational Aspects of Associative and Nonassociative Algebras
  • Grobner-Shirshov bases and composition lemma for associative conformal algebras: An example / L. A. Bokut, Y. Fong, W.-F. Ke 63
  • Derivations in near-ring theory / Y. Fong 91
  • Automorphic orbits of elements of free algebras with the Nielsen-Schreier property / Alexander A. Mikhalev, Jie-Tai Yu 95
  • Universal central extensions of the matrix Lie superalgebras sl(m, n, A) / Alexander V. Mikhalev, I. A. Pinchuk 111
  • Useful world of one-sided distributive systems / Gunter F. Pilz 127
  • On the structure of conformal algebras / Efim Zelmanov 139
  • Part III. Automorphisms of Polynomial Algebras and the Jacobian Conjecture
  • Unipotent Jacobian matrices and univalent maps / L. Andrew Campbell 157
  • Automorphisms and coordinates of polynomial algebras / Vesselin Drensky, Jie-Tai Yu 179
  • On Bass' inverse degree approach to the Jacobian conjecture and exponential automorphisms / Arno van den Essen 207
  • A note on possible counterexamples to the Abhyankar-Sathaye conjecture constructed by Shpilrain and Yu / Arno van den Essen, Peter van Rossum 215
  • Algorithms for polynomials in two variables / Walter D. Neumann, Penelope G. Wightwick 219
  • Peak reduction technique in commutative algebra: A survey / Vladimir Shpilrain, Jie-Tai Yu 237
  • Reversion, trees, and the Jacobian conjecture / David Wright 249
  • Part IV. Combinatorics and Coding Theory
  • Various constructions of good codes / Wen-ching Winnie Li 271
  • Combinatorics and algebra: A medley of problems? A medley of techniques? / Man-Keung Siu 287.
Description
ix, 305 p. : ill. ; 26 cm.
Notes
  • International Conference on Combinatorial and Computational Algebra, held at the University of Hong Kong.
  • Includes bibliographical references.
Series Statement
Contemporary mathematics 0271-4132 ; 264
Contemporary mathematics (American Mathematical Society) v. 264
Technical Details
  • Access in Virgo Classic

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    g| Part I. t| Combinatorial and Computational Aspects of Group Theory -- t| Deformations and liftings of representations / r| Eli Aljadeff, Andy R. Magid g| 3 -- t| Embeddings of relatively free groups into finitely presented groups / r| A. Yu. Ol'shanskii, M. V. Sapir g| 23 -- t| Fixed point ratios, character ratios, and Cayley graphs / r| Aner Shalev g| 49 -- g| Part II. t| Combinatorial and Computational Aspects of Associative and Nonassociative Algebras -- t| Grobner-Shirshov bases and composition lemma for associative conformal algebras: An example / r| L. A. Bokut, Y. Fong, W.-F. Ke g| 63 -- t| Derivations in near-ring theory / r| Y. Fong g| 91 -- t| Automorphic orbits of elements of free algebras with the Nielsen-Schreier property / r| Alexander A. Mikhalev, Jie-Tai Yu g| 95 -- t| Universal central extensions of the matrix Lie superalgebras sl(m, n, A) / r| Alexander V. Mikhalev, I. A. Pinchuk g| 111 -- t| Useful world of one-sided distributive systems / r| Gunter F. Pilz g| 127 -- t| On the structure of conformal algebras / r| Efim Zelmanov g| 139 -- g| Part III. t| Automorphisms of Polynomial Algebras and the Jacobian Conjecture -- t| Unipotent Jacobian matrices and univalent maps / r| L. Andrew Campbell g| 157 -- t| Automorphisms and coordinates of polynomial algebras / r| Vesselin Drensky, Jie-Tai Yu g| 179 -- t| On Bass' inverse degree approach to the Jacobian conjecture and exponential automorphisms / r| Arno van den Essen g| 207 -- t| A note on possible counterexamples to the Abhyankar-Sathaye conjecture constructed by Shpilrain and Yu / r| Arno van den Essen, Peter van Rossum g| 215 -- t| Algorithms for polynomials in two variables / r| Walter D. Neumann, Penelope G. Wightwick g| 219 -- t| Peak reduction technique in commutative algebra: A survey / r| Vladimir Shpilrain, Jie-Tai Yu g| 237 -- t| Reversion, trees, and the Jacobian conjecture / r| David Wright g| 249 -- g| Part IV. t| Combinatorics and Coding Theory -- t| Various constructions of good codes / r| Wen-ching Winnie Li g| 271 -- t| Combinatorics and algebra: A medley of problems? A medley of techniques? / r| Man-Keung Siu g| 287.
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