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      Free actions on products of spheres at high dimensions

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      Author
      Okutan, O. B.
      Yalçın, E.
      Date
      2013
      Source Title
      Algebraic and Geometric Topology
      Print ISSN
      1472-2747
      Electronic ISSN
      1472-2739
      Publisher
      Geometry & Topology Publications
      Volume
      13
      Issue
      4
      Pages
      2087 - 2099
      Language
      English
      Type
      Article
      Item Usage Stats
      143
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      110
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      Abstract
      A classical conjecture in transformation group theory states that if G=(ℤ/p)r acts freely on a product of k spheres Sn 1 ×...× Sn k, then r ≤ k. We prove this conjecture in the case where the dimensions {ni} are high compared to all the differences |ni-nj| between the dimensions.
      Keywords
      Primary : 57S25
      Secondary : 20J06
      Permalink
      http://hdl.handle.net/11693/20951
      Published Version (Please cite this version)
      http://dx.doi.org/10.2140/agt.2013.13.2087
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      • Department of Mathematics 614
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