ALGEBRA AND COMBINATORICS SEMINAR Tuesday 15 April 2008, 3pm in Room 67-641 Melinda Buchanan, Mathematics, UQ Coverings, (Kk-e)-designs and Not-the-Bruck-Ryser-Chowla Theorem Abstract I will develop necessary conditions for the existence of certain minimal covering designs, and use these to show the non-existence of an infinite class of (Kk-e)-designs. The proof is neat, and uses techniques pinched from the proof of the Bruck-Ryser-Chowla Theorem. For the entertainment of the algebra buffs, Victor Scharaschkin will make a cameo appearance to do a cunning calculation of a determinant. No knowledge of covering designs or the Bruck-Ryser-Chowla theorem is required! All welcome. ----------------------------------------------------------- http://www.maths.uq.edu.au/cdmc/Seminars.html