Combinatorial and computational algebra : International Conference on Combinatorial and Computational Algebra, May 24-29, 1999, The University of Hong Kong, Hong Kong SAR, China
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書誌事項
Combinatorial and computational algebra : International Conference on Combinatorial and Computational Algebra, May 24-29, 1999, The University of Hong Kong, Hong Kong SAR, China
（Contemporary mathematics, v. 264）
American Mathematical Society, c2000
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Includes bibliographical references
内容説明・目次
内容説明
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 non associative 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.
目次
Combinatorial and computational aspects of group theory: Deformations and liftings of representations by E. Aljadeff and A. R. Magid Embeddings of relatively free groups into finitely presented groups by A. Yu. Ol'shanskii and M. V. Sapir Fixed point ratios, character ratios, and Cayley graphs by A. Shalev Combinatorial and computational aspects of associative and nonassociative algebras: Grobner-Shrishov bases and composition lemma for associative conformal algebras: An example by L. A. Bokut, Y. Fong, and W.-F. Ke Derivations in near-ring theory by Y. Fong Automorphic orbits of elements of free algebras with the Nielsen-Schreier property by A. A. Mikhalev and J.-T. Yu Universal central extensions of the matrix Lie superalgebras sl$(m,n,A)$ by A. V. Mikhalev and I. A. Pinchuk The useful world of one-sided distributive systems by G. F. Pilz On the structure of conformal algebras by E. Zelmanov Automorphisms of polynomial algebras and the Jacobian conjecture: Unipotent Jacobian matrices and univalent maps by L. A. Campbell Automorphisms and coordinates of polynomial algebras by V. Drensky and J.-T. Yu On Bass' inverse degree approach to the Jacobian conjecture and exponential automorphisms by A. van den Essen A note on possible counterexamples to the Abhyankar-Sathaye conjecture constructed by Shpilrain and Yu by A. van den Essen and P. van Rossum Algorithms for polynomials in two variables by W. D. Neumann and P. G. Wightwick Peak reduction technique in commutative algebra: A survey by V. Shpilrain and J.-T. Yu Reversion, trees, and the Jacobian conjecture by D. Wright Combinatorics and coding theory: Various constructions of good codes by W.-C. W. Li Combinatorics and algebra: A medley of problems? A medley of techniques? by M.-K. Siu.
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