Seminar series
Date
Tue, 24 Apr 2018
Time
14:15 -
15:15
Location
L4
Speaker
Henry Bradford
Organisation
Goettingen
A law for a group G is a non-trivial equation satisfied by all tuples of elements in G. We study the length of the shortest law holding in a finite group. We produce new short laws holding (a) in finite simple groups of Lie type and (b) simultaneously in all finite groups of small order. As an application of the latter we obtain a new lower bound on the residual finiteness growth of free groups. This talk is based on joint work with Andreas Thom.