MaPSS: Maths Postgraduate Seminar Series: Kane Townsend -- Minimal parabolic subsystems containing Sylow subgroups in Weyl groups and finite groups of Lie type

Hello all, 

The next MaPSS talk of this semester will be at 17:00 on Mon 20th May in Carslaw 535.
It’s a great opportunity to meet fellow postgrads, listen to an interesting talk, and of
course get some free pizza! 

************************************************************************************** 

Speaker: Kane Townsend 

Title: Minimal parabolic subsystems containing Sylow subgroups in Weyl groups and finite
groups of Lie type 

Abstract: Parabolic subgroups of Weyl groups and Levi subgroups of finite groups of Lie
type are both associated to a subset of the generating reflections of the Weyl group.
We will consider the minimal such parabolic subgroups and Levi subgroups containing the
$\ell$-Sylow subgroups in the special case that the prime power q associated to the
finite group of Lie type has order 1 modulo \ell.  A link between these two subgroups
will be found by considering the order formulas of both groups which both depend on the
degrees of invariants of the Weyl group and a well known fact about the prime divisors
of cyclotomic polynomials.  

************************************************************************************** 

See you there! 

Details can also be found on the school’s Postgraduate Society website:
http://www.maths.usyd.edu.au/u/MaPS/mapss.2019.html 

Cheers, Eric