<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-24T03:13:27Z</responseDate><request verb="GetRecord" identifier="oai:www.repository.cam.ac.uk:1810/267214" metadataPrefix="uketd_dc">https://api.repository.cam.ac.uk/server/oai/request</request><GetRecord><record><header><identifier>oai:www.repository.cam.ac.uk:1810/267214</identifier><datestamp>2024-06-26T13:53:46Z</datestamp><setSpec>com_1810_213747</setSpec><setSpec>com_1810_256064</setSpec><setSpec>col_1810_213748</setSpec></header><metadata><uketd_dc:uketddc xmlns:uketd_dc="http://naca.central.cranfield.ac.uk/ethos-oai/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:uketdterms="http://naca.central.cranfield.ac.uk/ethos-oai/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://naca.central.cranfield.ac.uk/ethos-oai/2.0/ http://naca.central.cranfield.ac.uk/ethos-oai/2.0/uketd_dc.xsd">
   <dc:title>Bounding cohomology for low rank algebraic groups</dc:title>
   <dc:identifier xsi:type="dcterms:DOI">10.17863/CAM.13225</dc:identifier>
   <dc:creator>Rizkallah, John</dc:creator>
   <uketdterms:advisor>Stewart, David</uketdterms:advisor>
   <dcterms:abstract>Let G be a semisimple linear algebraic group over an algebraically closed field of prime characteristic. In this thesis we outline the theory of such groups and their cohomology. We then concentrate on algebraic groups in rank 1 and 2, and prove some new results in their bounding cohomology.</dcterms:abstract>
   <uketdterms:institution>University of Cambridge</uketdterms:institution>
   <dcterms:issued>2017-08-01</dcterms:issued>
   <dc:type>Thesis</dc:type>
   <uketdterms:qualificationlevel>Doctoral</uketdterms:qualificationlevel>
   <uketdterms:qualificationname>Doctor of Philosophy (PhD)</uketdterms:qualificationname>
   <dc:language>en</dc:language>
   <dcterms:isReferencedBy xsi:type="dcterms:URI">https://www.repository.cam.ac.uk/handle/1810/267214</dcterms:isReferencedBy>
   <dc:identifier xsi:type="dcterms:URI">https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/e057c031-c99c-4fa2-82ff-623c069c1482/download</dc:identifier>
   <uketdterms:checksum xsi:type="uketdterms:MD5">fe91e4c4b36f8c0f4659c206a9f7eadf</uketdterms:checksum>
   <dcterms:license>https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/32936735-4733-4344-ba36-bef29b6bd5c2/download</dcterms:license>
   <uketdterms:checksum xsi:type="uketdterms:MD5">87eda9de84448d1f82354d60eee3eb5f</uketdterms:checksum>
   <dc:rights>https://www.rioxx.net/licenses/all-rights-reserved/</dc:rights>
   <dc:subject>group theory</dc:subject>
   <dc:subject>representation theory</dc:subject>
   <dc:subject>algebraic groups</dc:subject>
   <dc:subject>cohomology</dc:subject>
</uketd_dc:uketddc>
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