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arXiv · 1207.2363

Free Actions on Products of Spheres at High Dimensions

Osman Berat Okutan·Ergun Yalcin
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Abstract

A classical conjecture in transformation group theory states that if $G=(\bbZ/p)^r$ acts freely on a product of $k$ spheres $S^{n_1} \times ... \times S^{n_k}$, then $r\leq k$. We prove this conjecture in the case where the average of the dimensions ${n_i}$ is large compared to the differences $|n_i-n_j|$ between the dimensions.

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Osman Berat Okutan, Ergun Yalcin. 2012-07-10. Free Actions on Products of Spheres at High Dimensions. https://doi.org/10.2140/agt.2013.13.2087

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