Proves P_r(G wr S_{n+1}) equals P_r(G wr S_n) for n not congruent to -1 mod r when gcd(|G|,r)=1, and supplies a formula for the number of r-th power conjugacy classes in G wr S_n.
I.'', Lecture Notes in Mathematics, Vol
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Powers in the wreath product of $G$ with $S_n$
Proves P_r(G wr S_{n+1}) equals P_r(G wr S_n) for n not congruent to -1 mod r when gcd(|G|,r)=1, and supplies a formula for the number of r-th power conjugacy classes in G wr S_n.