Some cohomology of finite general linear groups

dc.contributor.advisor	Mitchell, Steve	en_US
dc.contributor.author	Sprehn, David	en_US
dc.date.accessioned	2015-09-29T21:24:43Z
dc.date.available	2015-09-29T21:24:43Z
dc.date.issued	2015-09-29
dc.date.submitted	2015	en_US
dc.description	Thesis (Ph.D.)--University of Washington, 2015	en_US
dc.description.abstract	We prove that the degree r(2p − 3) cohomology of any (untwisted) finite group of Lie type over F_(p^r), with coefficients in characteristic p, is nonzero as long as its Coxeter number is at most p. We do this by providing a simple explicit construction of a nonzero element. Furthermore, for the groups GL_n F_(p^r) , when p = 2 or r = 1, we calculate the cohomology in degree r(2p − 3), for all n.	en_US
dc.embargo.terms	Open Access	en_US
dc.format.mimetype	application/pdf	en_US
dc.identifier.other	Sprehn_washington_0250E_15001.pdf	en_US
dc.identifier.uri	http://hdl.handle.net/1773/34016
dc.language.iso	en_US	en_US
dc.rights	Copyright is held by the individual authors.	en_US
dc.subject	Finite group of Lie type; General Linear group; Group cohomology	en_US
dc.subject.other	Mathematics	en_US
dc.subject.other	mathematics	en_US
dc.title	Some cohomology of finite general linear groups	en_US
dc.type	Thesis	en_US

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