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Algebra seminar - Eileen Pan

Dates:20 February 2024
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
Speaker:Eileen Pan
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Algebra"
  • By Department of Mathematics

Talk: Some coset actions in G_2(q)

Abstract: The coset actions of almost simple groups have sparked much interest, and a lot has been done by various authors, but there remains much to explore. In this talk we consider G to be a finite group of type G_2, for example, G_2(q) for some prime power q, and let H be a maximal-rank maximal subgroup in G. We describe the double cosets HgH for g in G and the corresponding intersections H \cap H^g. This in turn gives us the suborbit representatives and subdegrees of the natural action of G on the cosets of H. Along the way, we give a brief overview of some known results in algebraic and finite groups of Lie type and explain how they are used in approaching this problem.

Speaker

Eileen Pan

Organisation: University of Warwick

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Frank Adams 1
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Simon Crawford

simon.crawford@manchester.ac.uk

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