Classifying spaces for chains of families of subgroups

Victor Moreno

Research output: ThesisDoctoral Thesis

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Abstract

Let F0 ⊆ F1 ⊆ ... ⊆ Fn ⊆ ...  be an ascending chain of families ofsubgroups of a discrete group G. Under certain conditions, it is possible tobuild classifying spaces for all the families in the chain recursively, utilisingthose for F0 and other families that will be introduced throughout theprocess. The aim of this thesis is to provide such methodology and use itto give upper bounds for the respective Bredon dimensions. We then applythis construction process to families of virtually polycyclic subgroups.
Original languageEnglish
QualificationPh.D.
Awarding Institution
  • Royal Holloway, University of London
Supervisors/Advisors
  • Nucinkis, Brita, Supervisor
Award date1 Feb 2019
Publication statusUnpublished - 2018

Keywords

  • Classifying Spaces for families of subgroups
  • Cohomology of Groups
  • Bredon Cohomology

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