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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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  • Department of Mathematics

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  • In group "(Maths) Algebra"
  • In group "(Maths) Maths seminar series"
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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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Kieran Calvert

kieran.calvert@manchester.ac.uk

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