Conjugacy in Houghton's Groups

Yago Antolín; José Burillo; Armando Martino

Conjugacy in Houghton's Groups

Group Theory 2014-07-01 v2

Authors: Yago Antolín , José Burillo , Armando Martino

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 $H_n$ , $n\geq 2$ .

Keywords

conjugacy classes in groups

Cite

@article{arxiv.1305.2044,
  title  = {Conjugacy in Houghton's Groups},
  author = {Yago Antolín and José Burillo and Armando Martino},
  journal= {arXiv preprint arXiv:1305.2044},
  year   = {2014}
}

Comments

11 pages, 1 figure, v2 correct typos and fills a small gap in the argument

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