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CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar

Thursday, March 30, 2017 - 3:00pm

Madeline Locus



University of Pennsylvania


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.