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2 results

  • (Z2)k-Actions Fixing a Product of Spheres and a Point

  • Pedro L. Q. Pergher
  • Journal:
    Canadian Mathematical Bulletin / Volume 38 / Issue 3 / 01 September 1995
    Published online by Cambridge University Press:
    20 November 2018, pp. 366-372
    Print publication:
    01 September 1995
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  • In the paper we identify up to bordism all manifolds with (Z2)k-action whose fixed point set is Sn × Sm U point.

  • Group Actions on Flag Manifolds and Cobordism

  • P. Sankaran, K. Varadarajan
  • Journal:
    Canadian Journal of Mathematics / Volume 45 / Issue 3 / 01 June 1993
    Published online by Cambridge University Press:
    20 November 2018, pp. 650-661
    Print publication:
    01 June 1993
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  • In this paper we show that any (respectively α є Ωm) can be represented by a closed smooth (respectively closed, oriented smooth) manifold Mm admitting a smooth (Z/2)m (respectively S1)-action with a finite stationary set. We also completely determine the Grassman manifolds which are oriented boundaries as well as those which represent non-torsion elements in Ω*.