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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"integer depresentation 1heory"" "subject:"integer depresentation btheory""

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Genera of Integer Representations and the Lyndon-Hochschild-Serre Spectral Sequence

Chris Karl Neuffer (11204136) 06 August 2021 (has links)
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 $\mathbb{Z}^{n}\rtimes$G with G finite. A problem first stated by Adem-Ge-Pan-Petrosyan asks for suitable conditions for the Lyndon-Hochschild-Serre 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.
Algebra
Algebra and Number Theory
Group Cohomology
Cohomology of Groups
Integer Representations
Integer Representation Theory
Crystallographic Groups
Space Groups
Spectral sequences (Mathematics)
Genus
Induction

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