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In this work, we study the action of the generalized quaternionic groups Q4t on the spheres to compute the Reidemeister torsion of the quotient spaces, which are called Quaternionic Spherical Space Forms. Using the base of the homology defined by Ray and Singer in [27] we compute also the Ray-Singer torsion of the spheres, lens spaces and the cone over the spheres. This last one provides the disc as a particular case. For the closed manifolds we obtain the analytic torsion using the Cheeger-Muller Theorem [7, 22] and for the disc using a formula proved by Bruning and Ma in [5].

Torção de Reidemeister das formas espaciais esféricas