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 
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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: qanalogues of designs and the 2Fano plane
Time and place: 16:00 Friday 13/10/2017 in Weatherburn LT
Abstract: A qanalogue of a tdesign, called a t(n,k, ambda)_q design, is a set of ksubspaces of F_q^n such that each tsubspace is contained in exactly ambda elements. If t = 1, the design is a qanalogue of a Steiner system, and is denoted S_q(t,k,n). Braun, Østergård, Vardy and Wassermann have shown that qSteiner systems do exist, but existence is not known in the case of S_q[2; 3; 7], the qanalogue 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 nonexistence), in particular, we have found that no 2Fano 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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