Erdal, Mehmet Akif2016-01-082016-01-082010http://hdl.handle.net/11693/15058Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent University, 2010.Thesis (Master's) -- Bilkent University, 2010.Includes bibliographical references leaves 47-48.Let ξn : Z/p → U(n) be an n-dimensional faithful complex representation of Z/p and in : U(n)→O(2n) be inclusion for n ≥ 1. Then the compositions in ◦ ξn and jn ◦ in ◦ ξn induce fibrations on BZ/p where jn : O(2n) → O(2n + 1) is the usual inclusion. Let (BZ/p, f) be a sequence of fibrations where f2n : BZ/p→BO(2n) is the composition Bin ◦ Bξn and f2n+1 : BZ/p→BO(2n + 1) is the composition Bjn ◦Bin ◦Bξn. By Pontrjagin-Thom theorem the cobordism group Ωm(BZ/p, f) of m-dimensional (BZ/p, f) manifolds is isomorphic to π s m(MZ/p, ∗) where MZ/p denotes the Thom space of the bundle over BZ/p that pullbacks to the normal bundle of manifolds representing elements in Ωm(BZ/p, f). We will use the Adams and James Spectral Sequences to get information about Ωm(BZ/p, f), when p = 3.vii, 48 leavesEnglishinfo:eu-repo/semantics/openAccessCobordismLens spaceGroup representation(B, f)-structuresQA613.66 .E73 2010Cobordism theory.Spectral sequences (Mathematics)Adam spectral sequences.Thesis