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Geometry of Defining Relations in Groups

  • Book
  • © 1991

Overview

Authors:
  1. A. Yu. Ol’shanskii

    1. Department of Higher Algebra, Moscow University, Moscow, USSR

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Part of the book series: Mathematics and its Applications (MASS, volume 70)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxvi
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  2. General Concepts of Group Theory

    • A. Yu. Ol’shanskii
    Pages 1-36

  3. Main Types of Groups and Subgroups

    • A. Yu. Ol’shanskii
    Pages 37-72

  4. Elements of Two-Dimensional Topology

    • A. Yu. Ol’shanskii
    Pages 73-111

  5. Diagrams over Groups

    • A. Yu. Ol’shanskii
    Pages 112-151

  6. A-Maps

    • A. Yu. Ol’shanskii
    Pages 152-193

  7. Relations in Periodic Groups

    • A. Yu. Ol’shanskii
    Pages 194-217

  8. Maps with Partitioned Boundaries of Cells

    • A. Yu. Ol’shanskii
    Pages 218-269

  9. Partitions of Relators

    • A. Yu. Ol’shanskii
    Pages 270-295

  10. Construction of Groups with Prescribed Properties

    • A. Yu. Ol’shanskii
    Pages 296-330

  11. Extensions of Aspherical Groups

    • A. Yu. Ol’shanskii
    Pages 331-363

  12. Presentations in Free Products

    • A. Yu. Ol’shanskii
    Pages 364-409

  13. Applications to Other Problems

    • A. Yu. Ol’shanskii
    Pages 410-446

  14. Conjugacy Relations

    • A. Yu. Ol’shanskii
    Pages 447-472

  15. Back Matter

    Pages 473-505
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Keywords

Authors and Affiliations

  • Department of Higher Algebra, Moscow University, Moscow, USSR

    A. Yu. Ol’shanskii

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