UWA Logo What's On at UWA
   UWA HomeProspective Students  | Current Students  | Staff  | Alumni  | Visitors  | About  |     Search UWA    for      

SEMINAR: Groups and Combinatorics Seminar: Marvin Krings, 4pm Nov 23 in Robert Street LT

* Login to add events... *
Today's date is Monday, August 10, 2020
Groups and Combinatorics Seminar: Marvin Krings, 4pm Nov 23 in Robert Street LT Other events...
Speaker: Marvin Krings (RWTH, Aachen)

Title: The p-part of the order of an almost simple group of Lie type

Time and place: 4pm Friday 23 Nov 2018, Robert Street LT (not Weatherburn LT)

Abstract: Primitive permutation groups are fundamental building blocks in the sense that every finite permutation group can be built from the primitive ones. Apart from the alternating group A_n and the symmetric group S_n of degree n, the primitive subgroups G of S_n are small. For example, in 1980 Praeger and Saxl showed that |G| e 4^n, which is much smaller than n!/2. Since this time, powerful results such as the O’Nan-Scott Theorem, which classifies the primitive permutation groups, and the Classification of the Finite Simple Groups, have become available. We will bound the p-part |G|_p of |G| for some prime p. This is, the largest p-power p^{ u_p(G)} that divides |G|. The bound |G| e 4^n implies nu_p(G) e n og_p(4). We prove the stronger bound nu_p(G) e frac{2sqrt{n}}{(p-1)}+1 (with five exceptions). For several cases, we even obtain a bound that is logarithmic in n. Our proof uses the O'Nan-Scott theorem to reduce to simple groups. The hardest case, and the one I will discuss, is when the simple group is of Lie type.
Contact Stephen Glasby <[email protected]>
Start Fri, 23 Nov 2018 16:00
End Fri, 23 Nov 2018 17:00
Submitted by Stephen Glasby <[email protected]>
Last Updated Tue, 20 Nov 2018 10:51
Included in the following Calendars:
Additional Information:
  • Locations of venues on the Crawley and Nedlands campuses are available via the Campus Maps website.
  • Download this event as: Text | iCalendar
  • Mail this event:

Top of Page
© 2001-2010  The University of Western Australia
Questions? Mail [email protected]