TY - BOOK AU - Chan,Kai Yuen AU - Mikhalev,Alexander A. AU - Siu,Man-Keung AU - Jie-Tai Yu,. AU - Zelmanov,Efim TI - Combinatorial and Computational Algebra T2 - Contemporary Mathematics SN - 9780821878545 AV - QA150 -- .I58 1999eb U1 - 512 PY - 2000/// CY - Providence PB - American Mathematical Society KW - Algebra -- Congresses KW - Combinatorial analysis -- Congresses KW - Electronic books N1 - Intro -- Contents -- Preface -- Part I. Combinatorial and Computational Aspects of Group Theory -- Deformations and liftings of representations -- Embeddings of relatively free groups into finitely presented groups -- Fixed point ratios, character ratios, and Cayley graphs -- 1. Fixed point ratios -- 2. Applications: permutation groups -- 3. Character ratios -- 4. Applications: Cayley graphs -- 5. Bad news -- 6. Good news -- Part II. Combinatorial and Computational Aspects of Associative and Nonassociative Algebras -- Gröbner-Shirshov bases and composition lemma for associative conformal algebras: An example -- Derivations in near-ring theory -- Automorphic orbits of elements of free algebras with the Nielsen-Schreier property -- Universal central extensions of the matrix Lie superalgebras sl(m, n, A) -- The useful world of one-sided distributive systems -- On the structure of conformal algebras -- Part III. Automorphisms of Polynomial Algebras and the Jacobian Conjecture -- Unipotent Jacobian matrices and univalent maps -- Automorphisms and coordinates of polynomial algebras -- On Bass' inverse degree approach to the Jacobian conjecture and exponential automorphisms -- A note on possible counterexamples to the Abhyankar-Sathaye conjecture constructed by Shpilrain and Yu -- Algorithms for polynomials in two variables -- Peak reduction technique in commutative algebra: A survey -- Reversion, trees, and the Jacobian conjecture -- Part IV. Combinatorics and Coding Theory -- Various constructions of good codes -- Combinatorics and algebra: A medley of problems? A medley of techniques? UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112975 ER -