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

• E. Aljadeff and A. R. Magid -- Deformations and liftings of representations
• A. Yu. Ol'shanskii and M. V. Sapir -- Embeddings of relatively free groups into finitely presented groups
• A. Shalev -- Fixed point ratios, character ratios, and Cayley graphs

• L. A. Bokut, Y. Fong, and W.-F. Ke -- Gröbner-Shirshov bases and composition lemma for associative conformal algebras: An example
• Y. Fong -- Derivations in near-ring theory
• A. A. Mikhalev and J.-T. Yu -- Automorphic orbits of elements of free algebras with the Nielsen-Schreier property
• A. V. Mikhalev and I. A. Pinchuk -- Universal central extensions of the matrix Lie superalgebras sl$(m,n,A)$
• G. F. Pilz -- The useful world of one-sided distributive systems
• E. Zelmanov -- On the structure of conformal algebras

• L. A. Campbell -- Unipotent Jacobian matrices and univalent maps
• V. Drensky and J.-T. Yu -- Automorphisms and coordinates of polynomial algebras
• A. van den Essen -- On Bass' inverse degree approach to the Jacobian conjecture and exponential automorphisms
• A. van den Essen and P. van Rossum -- A note on possible counterexamples to the Abhyankar-Sathaye conjecture constructed by Shpilrain and Yu
• W. D. Neumann and P. G. Wightwick -- Algorithms for polynomials in two variables
• V. Shpilrain and J.-T. Yu -- Peak reduction technique in commutative algebra: A survey
• D. Wright -- Reversion, trees, and the Jacobian conjecture

• W.-C. W. Li -- Various constructions of good codes
• M.-K. Siu -- Combinatorics and algebra: A medley of problems? A medley of techniques?