Conjugacy in Houghton’s groups
- Yago Antolin 1
- José Burillo 2
- Armando Martino 3
- 1 University of Neuchâtel Mathematics. Department
- 2 Universitat Polit`ecnica de Catalunya. Departament de Matemàtica Aplicada IV
- 3 University of Southampton. School of Mathematics
ISSN: 0214-1493
Year of publication: 2015
Volume: 59
Issue: 1
Pages: 3-16
Type: Article
More publications in: Publicacions matematiques
Abstract
Let n ∈ N. Houghton’s group Hn is the group of permutations of {1, . . . , n} × N, that eventually act as a translation in each copy of N. We prove the solvability of the conjugacy problem and conjugator search problem for Hn, n ≥ 2.