Bounding cohomology for low rank algebraic groups

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.

Name dc:type.qualificationname

Doctor of Philosophy (PhD)

Level dc:type.qualificationlevel

Doctoral

Grantor dc:publisher.institution

University of Cambridge

Year dc:date.issued

2017

Author dc:creator

• Rizkallah, John

Advisor dc:contributor.advisor

• Stewart, David

• group theory
• representation theory
• algebraic groups
• cohomology

Licence

• https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/32936735-4733-4344-ba36-bef29b6bd5c2/download
• https://www.rioxx.net/licenses/all-rights-reserved/

Language dc:language

en

DOI dc:identifier.doi

https://doi.org/10.17863/CAM.13225

OAI identifier oai:identifier

oai:www.repository.cam.ac.uk:1810/267214