Number Theory Seminar

Date: March 8, 2017

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Madeline Locus, Emory University

Title: Conjugacy growth series for wreath products of finitary permutation groups

Abstract: We examine the conjugacy growth series of all wreath products of the finitary permutation groups Sym(X) and Alt(X) for an infinite set X. We determine their asymptotics, and we characterize the limiting behavior between the Sym(X) and Alt(X) wreath products. In particular, their ratios form a limit if and only if the dimension of the symmetric wreath product is twice the dimension of the alternating wreath product.

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