Conjugacy in Houghton's Groups

Yago Antolín; José Burillo; Armando Martino

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arXiv · 1305.2044

Conjugacy in Houghton's Groups

Yago Antolín·José Burillo·Armando Martino

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Abstract

Let $n\in \mathbb{N}$. Houghton's group $H_n$ is the group of permutations of $\{1,\dots, n\}\times \mathbb{N}$, that eventually act as a translation in each copy of $\mathbb{N}$. We prove the solvability of the conjugacy problem and conjugator search problem for $H_n$, $n\geq 2$.

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Yago Antolín, José Burillo, Armando Martino. 2014-06-30. Conjugacy in Houghton's Groups. https://arxiv.org/abs/1305.2044

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