## Publicacions Matemàtiques

### Conjugacy in Houghton's groups

#### Abstract

Let $n\in {\mathbb N}$. Houghton's group $H_n$ is the group of permutations of $\{1,\dotsc, n\}\times {\mathbb N}$, 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 $H_n$, $n\geq 2$.

#### Article information

Source
Publ. Mat., Volume 59, Number 1 (2015), 3-16.

Dates
First available in Project Euclid: 21 January 2015