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.
CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar
Thursday, March 30, 2017 - 3:00pm
Madeline Locus
Emory