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E-book
Author Chan, Kai Yuen

Title Combinatorial and Computational Algebra
Published Providence : American Mathematical Society, 2000

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Description 1 online resource (318 pages)
Series Contemporary Mathematics ; v. 264
Contemporary Mathematics
Contents 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 automorphismsA 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?
Notes Print version record
Subject Algebra -- Congresses
Combinatorial analysis -- Congresses
Algebra.
Combinatorial analysis.
Genre/Form Conference papers and proceedings.
Form Electronic book
Author Mikhalev, Alexander A
Siu, Man-Keung
ISBN 9780821878545
0821878549