Torus bundles over lens spaces

Let p be an odd prime and let. : Z/ p. GLn(Z) be an action of Z/ p on a lattice and let G := Zn.. Z/ p be the corresponding semidirect product. The torus bundle M := Tn. x Z/ p Sl over the lens space Sl/Z/ p has fundamental group G. When Z/ p fixes only the origin of Z n, Davis and Luck (2021) compute the L- groups L. j. m (Z[G]) and the structure set S geo,s(M). In this paper, we extend these computations to all actions of Z/ p on Z n. In particular, we compute L. j. m (Z[ G]) and S geo,s(M) in a case where EG has a non-discrete singular set.