Universal Localization and Group Cohomology

Two results are obtained in this work. First, we prove that for a commutative ring embedded in a larger ring, which is not necessarily commutative, its division and rational closures coincide. Second, for an infinite discrete group G, we investigate group cohomology and homology with coefficients in lp(G). We prove that if G is of type FPn, then all its homology and cohomology groups up to n are either zero or infinite dimensional. This generalizes one of the results obtained by Bekka and Valette

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2006

Author dc:creator

• Grinshpon, Mark S.

Chair dc:contributor.committeechair

• Linnell, Peter A.

Committee members dc:contributor.committeemember

• Parry, Charles J.
• Haskell, Peter E.
• Klaus, Martin
• Floyd, William J.

• Rational Closure
• Division Closure
• Group Cohomology
• Universal Localization

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-08142006-003016

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/28655