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Title: Finiteness conditions and Bestvina-Brady Groups
Author: Saadetoğlu, Müge
ISNI:       0000 0001 3544 0805
Awarding Body: University of Southampton
Current Institution: University of Southampton
Date of Award: 2005
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This thesis consists of a number of small research projects under three main topics: Bestvina-Brady Groups, Finiteness Conditions and Euler Characteristic of Groups. We construct groups that satisfy K.S. Brown's finiteness condition FHT but that are not of type FP. More precisely, we show that for each n ≥ 1 there exists a torsion-free group that is FHT and FPₙ but not FPₙ₊₁. We also provide formulas for the cohomology and the Euler characteristic of a Bestvina-Brady group. We give a topological proof of a version of Artin's induction theorem, and a result that compares the naïve and Wall Euler characteristic for a virtually torsion-free group G acting cocompactly on a contractible space X with finite stabilizers.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available