Geodesic
Cellular decomposition and free resolution for split metacyclic spherical space forms
Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 253-278.

Voir la notice de l'article provenant de la source International Press of Boston

Given a free isometric action of a split metacyclic group on odd dimensional sphere, we obtain an explicit finite cellular decomposition of the sphere equivariant with respect to the group action. A cell decomposition of the factor space and an explicit description of the associated cellular chain complex of modules over the integral group ring of the fundamental group follow. In particular, the construction provides a simple explicit 4-periodic free resolution for the split metacyclic groups.
DOI : 10.4310/HHA.2013.v15.n1.a13
Classification : 16E05, 18G10, 20J05, 20J06, 57M07, 57M10, 57Q10
Keywords: metacyclic group, fundamental domain, spherical space form 
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     title = {Cellular decomposition and free resolution for split metacyclic spherical space forms},
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     pages = {253--278},
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L.L. Fêmina; A.P.T. Galves; O. Manzoli Neto; M. Spreafico. Cellular decomposition and free resolution for split metacyclic spherical space forms. Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 253-278. doi : 10.4310/HHA.2013.v15.n1.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a13/

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