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- W3103442022 abstract "We examine the conjugacy growth series of all wreath products of the finitary permutation groups $text{Sym}(X)$ and $text{Alt}(X)$ for an infinite set $X$. We determine their asymptotics, and we characterize the limiting behavior between the $text{Alt}(X)$ and $text{Sym}(X)$ 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." @default.
- W3103442022 created "2020-11-23" @default.
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- W3103442022 date "2017-03-14" @default.
- W3103442022 modified "2023-09-27" @default.
- W3103442022 title "Conjugacy growth series for finitary wreath products" @default.
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- W3103442022 doi "https://doi.org/10.1007/s40993-016-0070-6" @default.
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