SEMINAR: Groups and Combinatorics Seminar: Sabina Pannek, 4pm March 12
|Groups and Combinatorics Seminar: Sabina Pannek, 4pm March 12
Speaker: Sabina Pannek
Title: Elements with large irreducible submodules contained in maximal subgroups of the general linear group
Time and place: 4pm Tuesday 12 Mar 2019, Blakers LT
Abstract: We refer to an element of the finite general linear group GL(V) as being fat if it leaves invariant, and acts irreducibly on, a subspace of dimension greater than dim(V)/2. Fat elements generalise the concept of ppd-elements, which are defined by the property of having orders divisible by certain primes called primitive prime divisors. In 1997, Guralnick, Penttila, Praeger and Saxl classified all subgroups of GL(V) containing ppd-elements. Their work has had a wide variety of applications in computational group theory, number theory, permutation group theory, and geometry. Our overall goal is to carry out an analogous classification of all subgroups of GL(V) containing fat elements.
During my PhD candidature I examined the occurrence of fat elements in GL(V) and various of its maximal subgroups. I showed that, often, this problem can be handled in a uniform way by considering "extremely fat" elements and counting certain irreducible polynomials. In my talk, I will present this method for groups belonging to Aschbacher's C2 class. The results we obtain significantly differ from the findings of the ppd-classification.
Tue, 12 Mar 2019 16:00
Tue, 12 Mar 2019 17:00
Stephen Glasby <[email protected]>
Wed, 10 Apr 2019 09:04
- Locations of venues on the Crawley and Nedlands campuses are
available via the Campus Maps website.
- Download this event as:
Mail this event: