Combinatorial Methods

Free Groups, Polynomials, and Free Algebras

Authors:

ISBN: 978-1-4419-2344-8 (Print) 978-0-387-21724-6 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-3

      Introduction

  3. Groups

    1. Front Matter

      Pages 5-8

    2. No Access

      Book Chapter

      Pages 9-19

      Classical Techniques of Combinatorial Group Theory

    3. No Access

      Book Chapter

      Pages 20-34

      Test Elements

    4. No Access

      Book Chapter

      Pages 35-44

      Other Special Elements

    5. No Access

      Book Chapter

      Pages 45-64

      Automorphic Orbits

  4. Polynomial Algebras

    1. Front Matter

      Pages 65-70

    2. No Access

      Book Chapter

      Pages 71-79

      The Jacobian Conjecture

    3. No Access

      Book Chapter

      Pages 80-91

      The Cancellation Conjecture

    4. No Access

      Book Chapter

      Pages 92-107

      Nagata’s Problem

    5. No Access

      Book Chapter

      Pages 108-128

      The Embedding Problem

    6. No Access

      Book Chapter

      Pages 129-168

      Coordinate Polynomials

    7. No Access

      Book Chapter

      Pages 169-181

      Test Elements of Polynomial and Free Associative Algebras

  5. Free Nielsen-Schreier Algebras

    1. Front Matter

      Pages 183-189

    2. No Access

      Book Chapter

      Pages 190-212

      Schreier Varieties of Algebras

    3. No Access

      Book Chapter

      Pages 213-243

      Rank Theorems and Primitive Elements

    4. No Access

      Book Chapter

      Pages 244-269

      Generalized Primitive Elements

    5. No Access

      Book Chapter

      Pages 270-282

      Free Leibniz Algebras

  6. Back Matter

    Pages 283-315