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Geometry and Cohomology in Group Theory

Geometry and Cohomology in Group Theory

£70.00

Part of London Mathematical Society Lecture Note Series

A. Adem, N. Naffah, D. J. Benson, R. Bieri, R. Geoghegan, R. M. Bryant, J. F. Carlson, I. M. Chiswell, J. Cornick, M. W. Davis, W. Dicks, I. J. Leary, H. H. Glover, G. Mislin, S. N. Voon, D. L. Johnson, R. I. Grigorchuk, F. E. A. Johnson, P. A. Linnell, H. Meinert, K. V. Mikhajlovskii, A. Yu. Ol'shanskii, P. M. Neumann, P. J. Rowley, J. S. Wilson
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  • Date Published: May 1998
  • availability: Available
  • format: Paperback
  • isbn: 9780521635561

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About the Authors
  • This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.

    • Has some of the best names in group theory
    • Contains surveys; very useful to students
    • Highly active area of mathematics
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    Product details

    • Date Published: May 1998
    • format: Paperback
    • isbn: 9780521635561
    • length: 332 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.49kg
    • availability: Available
  • Table of Contents

    1. On the cohomology of SL2(Z[1/p]) A. Adem and N. Naffah
    2. Cohomology of sporadic groups, finite loop spaces and the Dickson Invariants D. J. Benson
    3. Kernels of actions on non-positively curved spaces R. Bieri and R. Geoghegan
    4. Cyclic groups acting on free Lie algebras R. M. Bryant
    5. Cohomology, representations and quotient categories of modules J. F. Carlson
    6. Protrees and L-trees I. M. Chiswell
    7. Homological techniques for strongly graded rings: a survey J. Cornick
    8. Buildings are CAT(0) M. W. Davis
    9. On subgroups of Coxeter groups W. Dicks and I. J. Leary
    10. The p-primary Farrell cohomology of Out(Fp-1) H. H. Glover, G. Mislin and S. N. Voon
    11. On Tychonoff groups R. I. Grigorchuk
    12. Word growth of Coxeter groups D. L. Johnson
    13. Poly-surface groups F. E. A. Johnson
    14. Analytic versions of the zero divisor conjecture P. A. Linnell
    15. On the geometric invariants of soluble groups of finite Prüfer rank H. Meinert
    16. Some constructions relating to hyperbolic groups K. V. Mikhajlovskii and A. Yu. Ol'shanskii
    17. Free actions of Abelian groups on groups P. M. Neumann and P. J. Rowley
    18. Finitely presented soluble groups J. S. Wilson.

  • Editors

    Peter H. Kropholler, Queen Mary University of London

    Graham A. Niblo, University of Southampton

    Ralph Stöhr, University of Manchester Institute of Science and Technology

    Contributors

    A. Adem, N. Naffah, D. J. Benson, R. Bieri, R. Geoghegan, R. M. Bryant, J. F. Carlson, I. M. Chiswell, J. Cornick, M. W. Davis, W. Dicks, I. J. Leary, H. H. Glover, G. Mislin, S. N. Voon, D. L. Johnson, R. I. Grigorchuk, F. E. A. Johnson, P. A. Linnell, H. Meinert, K. V. Mikhajlovskii, A. Yu. Ol'shanskii, P. M. Neumann, P. J. Rowley, J. S. Wilson

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