Genera Of Integer Representations And The Lyndon-Hochschild-Serre Spectral Sequence
Abstract
There has been in the past ten to fifteen years a surge of activity concerning the cohomology of semi-direct product groups of the form ZnG with G finite. A problem first stated by Adem-Ge-Pan-Petrosyan asks for suitable conditions for the Lyndon-HochschildSerre Spectral Sequence associated to this group extension to collapse at second page of the Lyndon-Hochschild-Serre spectral sequence. In this thesis we use facts from integer representation theory to reduce this problem to only considering representatives from each genus of representations, and establish techniques for constructing new examples in which the spectral sequence collapses.
Degree
Ph.D.
Advisors
Ramras, Purdue University.
Subject Area
Mathematics
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