Type: Seminar

Distribution: World

Expiry: 15 Aug 2019

CalTitle1: Minimal parabolic subsystems containing Sylow subgroups in Weyl groups and finite groups of Lie type

Auth: erich@10.17.12.223 (ehes5653) in SMS-WASM

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