Conjugacy Classes

Wednesday, October 1, 2014 - 11:30am - 12:20pm
Bob Guralnick (University of Southern California)
Let G be a finite or algebraic group. Given a multiset of conjugacy classes of G, we are interested in the product of such. This is some normal subset of G. In particular, one is interested in the size of this product and when is the product all of G. There are some nice results about the asymptotics of this situation, but we will focus on the case of two conjugacy classes. In particular if C, D are conjugacy classes of G, what is CD and when is CD=G.
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