Type: Seminar

Distribution: World

Expiry: 29 Mar 2012

Auth: billu@daumier.maths.usyd.edu.au

Speaker: Sebastian Jambor (RWTH Aachen) Title: The L_2-quotient and L_3-U_3-quotient algorithms Time & Place: 3-4pm, Thursday 29 March, Carslaw 535 Abstract: The L_2-quotient algorithm by Plesken and Fabianska finds for a given finitely presented group G all quotients of G which are isomorphic to some finite simple group PSL(2, q), simultaneously for every prime power q. The L_3-U_3-quotient algorithm does the same for the quotients PSL(3, q) and PSU(3, q). After giving a motivation for these algorithms, I will describe the basic ideas which combine methods from representation theory and commutative algebra. At the end, I will try to give a live demonstration of the algorithms with several examples.