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SEMINAR: Groups and Combinatorics Seminar 16:00 Fri 15/10/2017 Weatherburn LT: John Bamberg

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Today's date is Wednesday, September 19, 2018
Groups and Combinatorics Seminar 16:00 Fri 15/10/2017 Weatherburn LT: John Bamberg Other events...
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
Contact Stephen Glasby <glasbys@gmail.com>
Start Sun, 15 Oct 2017 16:00
End Sun, 15 Oct 2017 17:00
Submitted by Stephen Glasby <glasbys@gmail.com>
Last Updated Tue, 10 Oct 2017 00:30
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