The cohomology of a finite matrix quotient group

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dc.contributor.author Pasko, Brian Brownell
dc.date.accessioned 2006-08-03T20:46:21Z
dc.date.available 2006-08-03T20:46:21Z
dc.date.issued 2006-08-03T20:46:21Z
dc.identifier.uri http://hdl.handle.net/2097/184
dc.description.abstract In this work, we find the module structure of the cohomology of the group of four by four upper triangular matrices (with ones on the diagonal) with entries from the field on three elements modulo its center. Some of the relations amongst the generators for the cohomology ring are also given. This cohomology is found by considering a certain split extension. We show that the associated Lyndon-Hochschild-Serre spectral sequence collapses at the second page by illustrating a set of generators for the cohomology ring from generating elements of the second page. We also consider two other extensions using more traditional techniques. In the first we introduce some new results giving degree four and five differentials in spectral sequences associated to extensions of a general class of groups and apply these to both the extensions. en
dc.format.extent 380785 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US en
dc.publisher Kansas State University en
dc.subject group cohomology en
dc.subject spectral sequence en
dc.title The cohomology of a finite matrix quotient group en
dc.type Dissertation en
dc.description.degree Doctor of Philosophy en
dc.description.level Doctoral en
dc.description.department Department of Mathematics en
dc.description.advisor John S. Maginnis en
dc.subject.umi Mathematics (0405) en
dc.date.published 2006 en
dc.date.graduationmonth August en


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