Zvengrowski, Peter D.Tomoda, Satoshi2017-12-182017-12-182005Tomoda, S. (2005). Cohomology rings of certain 4-periodic finite groups (Doctoral thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/129http://hdl.handle.net/1880/101130Bibliography: p. 292-299In 1932, Seifert introduced a large class of 3-manifolds, now called Seifert manifolds. In his paper, he determined the fundamental groups and homology groups of Seifert manifolds. Until the year 2000, however, the ring structures of these cohomology groups were not known apart from a few special cases. Bryden, Hayat-Legrand, Zieschang, and Zvengrowski computed the cup product structures in the cohomology of orientable Seifert manifolds with infinite fundamental group and coefficients Zp (for p prime). This dissertation is primarily devoted to carrying out the above programme for those Seifert manifolds with finite fundamental group, also known as the Clifford-Klein spherical space forms, with coefficients including both Z and Zp.xvi, 301 leaves ; 30 cm.engUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.doctoral thesis10.11575/PRISM/129