Cellular decomposition of quaternionic spherical space forms
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Data
2013-01-01
Autores
Neto, O. Manzoli
de Melo, T. [UNESP]
Spreafico, M.
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Resumo
We obtain an explicit cellular decomposition of the quaternionic spherical space forms, manifolds of positive constant curvature that are factors of an odd sphere by a free orthogonal action of a generalized quaternionic group. The cellular structure gives and explicit description of the associated cellular chain complex of modules over the integral group ring of the fundamental group. As an application we compute the Whitehead torsion of these spaces for any representation of the fundamental group. © 2012 Springer Science+Business Media B.V.
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Cellular decomposition, Quaternionic groups, Spherical space forms
Como citar
Geometriae Dedicata, v. 162, n. 1, p. 9-24, 2013.