Combinatorial and Computational Algebra.

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?.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.