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Combinatorial and Computational Algebra.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2000.
|
| Colección: | Contemporary Mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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?