Manchester Algebra Seminar - Adam Thomas - University of Warwick
Dates: | 27 April 2021 |
Times: | 13:00 - 14:00 |
What is it: | Seminar |
Organiser: | Department of Mathematics |
Who is it for: | University staff, Current University students |
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Speaker: Adam Thomas - University of Warwick
Title: The classification of extremely primitive groups
Abstract: Let G be a finite primitive permutation group acting on a set X with nontrivial point stabiliser G_x. We say that G is extremely primitive if G_x acts primitively on every orbit in X \ {x}. These groups arise naturally in several different contexts and their study can be traced back to work of Manning in the 1920s. After surveying previous results, we will discuss recent joint work with Tim Burness completing this classification. Most of the work is in dealing with almost simple groups with socle an exceptional group of Lie type. We will describe the various techniques used in the proof and, discuss the results we proved on bases for primitive actions of exceptional groups.
Time: 1pm
Place: Zoom
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Zoom - online
Alan Turing Building
Manchester