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- Title
CELLULAR DECOMPOSITION AND FREE RESOLUTION FOR SPLIT METACYCLIC SPHERICAL SPACE FORMS.
- Authors
FÊMINA, L. L.; GALVES, A. P. T.; NETO, O. MANZOLI; SPREAFICO, M.
- Abstract
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.
- Subjects
FREE resolutions (Algebra); CYBERNETICS; SPHERES; STATISTICS; MATHEMATICAL programming; GROUP theory
- Publication
Homology, Homotopy & Applications, 2013, Vol 15, Issue 1, p253
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2013.v15.n1.a13