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Homological Group Theory

£43.99

Part of London Mathematical Society Lecture Note Series

Hyman Bass, Kenneth S. Brown, K. W. Gruenberg, J.-P. Serre,  Peter Scott, Terry Wall, Herbert Abels, Helmut Behr, Robert Bieri, Beno Eckmann, Ralph Strebel, Peter J. Cameron, M. J. Dunwoody, Michael Dyer, W. J. Harvey, Johannes Huebschmann,  D. L. Johnson, E. F. Robertson, Wolfgang Metzler; Gerhard Rosenberger; Christophe Soulé, Terry Wall
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  • Date Published: December 1979
  • availability: Available
  • format: Paperback
  • isbn: 9780521227292

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  • In 1977 several eminent mathematicians were invited to Durham to present papers at a short conference on homological and combinatorial techniques in group theory. The lectures, published here, aimed at presenting in a unified way new developments in the area. Group theory is approached from a geometrical viewpoint and much of the material has not previously been published. The various ways in which topological ideas can be used in group theory are also brought together. The volume concludes with an extensive set of problems, ranging from explicit questions demanding detailed calculation to fundamental questions motivating research in the area. These lectures will be of interest mainly to researchers in pure mathematics but will also prove useful in connection with relevant postgraduate courses.

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    Product details

    • Date Published: December 1979
    • format: Paperback
    • isbn: 9780521227292
    • length: 408 pages
    • dimensions: 229 x 152 x 23 mm
    • weight: 0.6kg
    • availability: Available
  • Table of Contents

    Preface
    Introduction
    1. Traces and Euler characteristics Hyman Bass
    2. Groups of virtually finite dimension Kenneth S. Brown
    3. Free abelianised extensions of finite groups K. W. Gruenberg
    4. Arithmetic groups J.-P. Serre
    5. Topological methods in group theory Peter Scott and Terry Wall
    6. An example of a finite presented solvable group Herbert Abels
    7. SL3 (Fq[t]) is not finitely presentable Helmut Behr
    8. Two-dimensional Poincaré duality groups and pairs Robert Bieri and Beno Eckmann
    9. Metabelian quotients of finitely presented soluble groups are finitely presented Robert Bieri and Ralph Strebel
    10. Soluble groups with coherent group rings Robert Bieri and Ralph Strebel
    11. Cohomological aspects of 2-graphs, II Peter J. Cameron
    12. Recognizing free factors M. J. Dunwoody
    13. Trees of homotopy of (n, m)-complexes Michael Dyer
    14. Geometric structure of surface mapping class groups W. J. Harvey
    15. Cohomology theory of aspherical groups and of small cancellation groups Johannes Huebschmann
    16. Finite groups of deficiency zero D. L. Johnson and E. F. Robertson
    17. Äquivalenzklassen von Gruppenbeschreibungen, Identitäten und einfacher Homotopietyp in niederen Dimensionen Wolfgang Metzler
    19. Applications of Nielsen's reduction method to the solution of combinatorial problems in group theory: a survey Gerhard Rosenberger
    20. Chevalley groups over polynomial rings Christophe Soulé
    List of problems edited by Terry Wall.

  • Author

    C. T. C. Wall

    Contributors

    Hyman Bass, Kenneth S. Brown, K. W. Gruenberg, J.-P. Serre,  Peter Scott, Terry Wall, Herbert Abels, Helmut Behr, Robert Bieri, Beno Eckmann, Ralph Strebel, Peter J. Cameron, M. J. Dunwoody, Michael Dyer, W. J. Harvey, Johannes Huebschmann,  D. L. Johnson, E. F. Robertson, Wolfgang Metzler; Gerhard Rosenberger; Christophe Soulé, Terry Wall

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