Geodesic
Free actions on products of spheres at high dimensions
Okutan, Osman Berat1 ; Yalçın, Ergün2
1Department of Mathematics, The Ohio State University, Columbus, OH 43210-1174, USA
2Department of Mathematics, Bilkent University, 06800 Ankara, Turkey
Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2087-2099
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A classical conjecture in transformation group theory states that if G = (ℤ∕p)r acts freely on a product of k spheres Sn1 ×⋯ × Snk, 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.

DOI : 10.2140/agt.2013.13.2087
Classification : 57S25, 20J06
Keywords: rank conjecture, products of spheres, Tate cohomology

Okutan, Osman Berat  1   ; Yalçın, Ergün  2

1 Department of Mathematics, The Ohio State University, Columbus, OH 43210-1174, USA
2 Department of Mathematics, Bilkent University, 06800 Ankara, Turkey 
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Okutan, Osman Berat; Yalçın, Ergün. Free actions on products of spheres at high dimensions. Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2087-2099. doi: 10.2140/agt.2013.13.2087

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