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Constructive recognition of matrix groups

Presented by: 
Heiko Dietrich
Date: 
Monday 27th January 2020 - 13:45 to 14:35
Venue: 
INI Seminar Room 1
Abstract: 
After decades of work by many people, the successes of Matrix Group Recognition Projects and their implementations in the CompositionTree package allow, for the first time, to compute efficiently with large matrix groups (defined over finite fields). A crucial ingredient in those algorithms is the constructive recognition of classical groups. I will survey some of those results and then comment in more detail on my work (with Eamonn O'Brien and Charles Leedham-Green) for finding standard generators in classical groups.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons