Tuvay, İpek2016-01-082016-01-082009http://hdl.handle.net/11693/14865Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent University, 2009.Thesis (Master's) -- Bilkent University, 2009.Includes bibliographical references leaves 27.This thesis is mainly concerned with a decomposition of the reduced tom Dieck map die : f A(RG) → B(G) × into two maps die+ and die− of the real monomial Burnside ring. The key idea is to introduce a real Lefschetz invariant as an element of the real monomial Burnside ring and to generalize the assertion that the image of an RG-module under the tom Dieck map coincides with the Lefschetz invariant of the sphere of the same module.v, 27 leavesEnglishinfo:eu-repo/semantics/openAccessMonomial Burnside ringstom Dieck mapLefschetz invarianQA171 .T88 2009Burnside rings.Rings (Algebra).Burnside problem.Thesis