SEMINAR: Groups and Combinatorics Seminar 16:00 Fri 15/10/2017 Weatherburn LT: John Bamberg
|Groups and Combinatorics Seminar 16:00 Fri 15/10/2017 Weatherburn LT: John Bamberg
There will be refreshments in Maths & Stats tea room at 15:40, and we will
go for drinks at the UWA Tavern or the UniClub after the seminar. All are most welcome.
Speaker: John Bamberg (University of Western Australia)
Title: q-analogues of designs and the 2-Fano plane
Time and place: 16:00 Friday 13/10/2017 in Weatherburn LT
Abstract: A q-analogue of a t-design, called a t-(n,k, ambda)_q design, is a set of k-subspaces of F_q^n such that each t-subspace is contained in exactly ambda elements. If t = 1, the design is a q-analogue of a Steiner system, and is denoted S_q(t,k,n). Braun, Østergård, Vardy and Wassermann have shown that q-Steiner systems do exist, but existence is not known in the case of S_q[2; 3; 7], the q-analogue of a Fano plane. Kiermeir, Kurz and Wassermann have shown that if a S_2[2; 3; 7] exists, then the order of its automorphism group would be at most 2. We will present the progress of our search for S_2[2; 3; 7] (or its non-existence), in particular, we have found that no 2-Fano plane exists with automorphism group of order 2. This is join work with Ferdinand Ihringer, Jesse Lansdown, and Gordon Royle.
Past and future seminars may be found at http://www.maths.uwa.edu.au/~glasby/S17.html
Sun, 15 Oct 2017 16:00
Sun, 15 Oct 2017 17:00
Stephen Glasby <email@example.com>
Tue, 10 Oct 2017 00:30
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