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Transformation Groups
Proceedings of the Conference in the University of Newcastle upon Tyne, August 1976

Part of London Mathematical Society Lecture Note Series

Herbert Abels, Nguiffo B. Boyom, Allan L. Edmonds, V. Giambalvo, Stefan Jakowski, Czes Kosniowski, Hsu-Tung Ku, Mei-Chin Ku, Arunas Liulevicius, Gerhard X. Ritter, Bradd E. Clark, Reinhard Schulz, Haruo Suzuki, Per Tomter, Steven H. Weintraub, H. Abels, R. D. Anderson, L. Auslander, B. Kolb, R. Tolimieri, M. P. Heble, Soren Illman, Jatsuo Kawakubo, M. Kreck, Peter Löffler, Gordon Lukesh, W. J. R. Mitchell
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  • Date Published: March 1977
  • availability: Available
  • format: Paperback
  • isbn: 9780521215091

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  • The theory of transformation groups studies symmetries of various mathematical objects such as topological spaces, manifolds, polyhedra and function spaces. It is thus a central concept in many branches of mathematics. This volume contains 25 of the papers submitted at the conference on transformation groups held at the University of Newcastle upon Tyne in August 1976.

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    Product details

    • Date Published: March 1977
    • format: Paperback
    • isbn: 9780521215091
    • length: 316 pages
    • dimensions: 229 x 152 x 18 mm
    • weight: 0.5kg
    • availability: Available
  • Table of Contents

    Part I:
    1. Generators and relations for groups of homeomorphisms Herbert Abels
    2. Affine embeddings of real Lie groups Nguiffo B. Boyom
    3. Equivariant regular neighbourhoods Allan L. Edmonds
    4. Characteristic numbers and equivariant spin cobordism V. Giambalvo
    5. Equivariant K-theory and cyclic subgroups Stefan Jakowski
    6. Z/p manifolds with low dimensional fixed point set Czes Kosniowski
    7. Gaps in the relative degree of symmetry Hsu-Tung Ku and Mei-Chin Ku
    8. Characters do not lie Arunas Liulevicius
    9. Actions of Z/2n on S3 Gerhard X. Ritter
    10. Periodic homeomorphisms on non-compact 3 manifolds Gerhard X. Ritter and Bradd E. Clark
    11. Equivariant function spaces and equivariant stable homotopy theory Reinhard Schulz
    12. A property of a characteristic class of an orbit foliation Haruo Suzuki
    13. Orbit structure for Lie group actions on higher cohomology projective spaces Per Tomter
    14. On the existence of group actions on certain manifolds Steven H. Weintraub
    Part II. Summaries and Surveys:
    15. Proper transformation groups H. Abels
    16. Problems on group actions on Q manifolds R. D. Anderson
    17. A non-abelian view of abelian varieties L. Auslander, B. Kolb and R. Tolimieri
    18. Non compact Lie groups of transformation and invariant operator measures on homogenous spaces in Hilbert space M. P. Heble
    19. Approximation of simplicial G-maps by equivariantly non degenerate maps Soren Illman
    20. Equivariant Riemann–Roch type theorems and related topics Jatsuo Kawakubo
    21. Knots and diffeomorphisms M. Kreck
    22. Some remarks on free differentiable involuetions on homotopy spheres Peter Löffler
    23. Compact transitive isometry spaces Gordon Lukesh
    24. A problem of Breson concerning homology manifolds W. J. R. Mitchell.

  • Editor

    Czes Kosniowski

    Contributors

    Herbert Abels, Nguiffo B. Boyom, Allan L. Edmonds, V. Giambalvo, Stefan Jakowski, Czes Kosniowski, Hsu-Tung Ku, Mei-Chin Ku, Arunas Liulevicius, Gerhard X. Ritter, Bradd E. Clark, Reinhard Schulz, Haruo Suzuki, Per Tomter, Steven H. Weintraub, H. Abels, R. D. Anderson, L. Auslander, B. Kolb, R. Tolimieri, M. P. Heble, Soren Illman, Jatsuo Kawakubo, M. Kreck, Peter Löffler, Gordon Lukesh, W. J. R. Mitchell

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