Geodesic
Free Actions of Abelian Groups on a Cartesian Power of an Even Sphere
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 358-362

Voir la notice de l'article provenant de la source Cambridge University Press

We determine an algebraic condition necessary and sufficient for a group G to act freely on the nth Cartesian power of an even sphere, and characterize the abelian groups that satisfy this condition.
DOI : 10.4153/CMB-1987-051-3
Mots-clés : Primary 57S25, Secondary 57S17 
Hoffman, Michael. Free Actions of Abelian Groups on a Cartesian Power of an Even Sphere. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 358-362. doi: 10.4153/CMB-1987-051-3
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[1] 1. Gunnar, Carlsson, On the rank of abelian groups acting freely on (Sn)k , Invent, math. 69 (1982), pp. 393–400. Google Scholar

[2] 2. Nobuaki, Yogita, On the dimension of spheres whose product admits a free action by a nonabelian group, Quart. J. Math. 36 (1985), pp. 117–127. Google Scholar

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