Finiteness conditions and Bestvina-Brady Groups
Finiteness conditions and Bestvina-Brady Groups
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.
University of Southampton
Saadetoğlu, Müge
c048aad5-c9c3-4cee-9edd-c8b16248c18e
2005
Saadetoğlu, Müge
c048aad5-c9c3-4cee-9edd-c8b16248c18e
Saadetoğlu, Müge
(2005)
Finiteness conditions and Bestvina-Brady Groups.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
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.
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Published date: 2005
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Local EPrints ID: 466006
URI: http://eprints.soton.ac.uk/id/eprint/466006
PURE UUID: 801796c1-9825-4a13-9ece-52899f4435db
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Date deposited: 05 Jul 2022 03:56
Last modified: 05 Jul 2022 03:56
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Author:
Müge Saadetoğlu
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