Combinatorial methods : free groups, polynomials and free algebras /
The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning...
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| Format: | eBook |
| Language: | English |
| Published: |
New York ; London :
Springer,
[2004]
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| Series: | CMS books in mathematics ;
v. 19. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Preface
- Introduction
- I. Groups: Introduction. Classical Techniques. Test Elements. Other Special Elements. Automorphic Orbits
- II. Polynomial Algebras: Introduction. The Jacobian Conjecture. The Cancellation Conjecture. Nagata's Problem. The Embedding Problem. Coordinate Polynomials. Test Polynomials
- III. Free Nielsen-Schreier Algebras: Introduction. Schreier Varieties of Algebras. Rank Theorems and Primitive Elements. Generalized Primitive Elements. Free Leibniz Algebras
- References
- Notations
- Author Index
- Subject Index.