Topological Methods in Group Theory

Authors:

ISBN: 978-0-387-74611-1 (Print) 978-0-387-74614-2 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages I-XIV

  2. Algebraic Topology for Group Theory

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-34

      CW Complexes and Homotopy

    3. No Access

      Book Chapter

      Pages 35-72

      Cellular Homology

    4. No Access

      Book Chapter

      Pages 73-100

      Fundamental Group and Tietze Transformation

    5. No Access

      Book Chapter

      Pages 101-123

      Some Techniques in Homotopy Theory

    6. No Access

      Book Chapter

      Pages 125-140

      Elementary Geometric Topology

  3. Finiteness Properties of Groups

    1. Front Matter

      Pages 141-141

    2. No Access

      Book Chapter

      Pages 143-159

      The Borel Construction and Bass-Serre Theory

    3. No Access

      Book Chapter

      Pages 161-179

      Topological Finiteness Properties and Dimension of Groups

    4. No Access

      Book Chapter

      Pages 181-195

      Homological Finiteness Properties of Groups

    5. No Access

      Book Chapter

      Pages 197-216

      Finiteness Properties of Some Important Groups

  4. Locally Finite Algebraic Topology for Group Theory

    1. Front Matter

      Pages 217-217

    2. No Access

      Book Chapter

      Pages 219-228

      Locally Finite CW Complexes and Proper Homotopy

    3. No Access

      Book Chapter

      Pages 229-257

      Locally Finite Homology

    4. No Access

      Book Chapter

      Pages 259-282

      Cohomology of CW Complexes

  5. Topics in the Cohomology of Infinite Groups

    1. Front Matter

      Pages 283-283

    2. No Access

      Book Chapter

      Pages 285-331

      Cohomology of Groups and Ends of Covering Spaces

    3. No Access

      Book Chapter

      Pages 333-351

      Filtered Ends of Pairs of Groups

    4. No Access

      Book Chapter

      Pages 353-365

      Poincaré Duality in Manifolds and Groups

  6. Homotopical Group Theory

    1. Front Matter

      Pages 367-367

    2. No Access

      Book Chapter

      Pages 369-409

      The Fundamental Group At Infinity

    3. No Access

      Book Chapter

      Pages 411-429

      Higher homotopy theory of groups

  7. Three Essays

    1. Front Matter

      Pages 431-431

    2. No Access

      Book Chapter

      Pages 433-452

      Three Essays

  8. Back Matter

    Pages 453-477