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Combinatorial and Computational Algebra

About this Title

Kai Yuen Chan, Alexander A. Mikhalev, Man-Keung Siu, Jie-Tai Yu and Efim I. Zelmanov, Editors

Publication: Contemporary Mathematics
Publication Year: 2000; Volume 264
ISBNs: 978-0-8218-1984-5 (print); 978-0-8218-7854-5 (online)
DOI: https://doi.org/10.1090/conm/264
MathSciNet review: 1800684

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Table of Contents

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Front/Back Matter

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Part I. Combinatorial and Computational Aspects of Group Theory

• 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

• 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 $\textrm {sl}(m,n,A)$ [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

• 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

• 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]