Conjugacy in Houghton’s groups

  1. Yago Antolin 1
  2. José Burillo 2
  3. Armando Martino 3
  1. 1 University of Neuchâtel Mathematics. Department
  2. 2 Universitat Polit`ecnica de Catalunya. Departament de Matemàtica Aplicada IV
  3. 3 University of Southampton. School of Mathematics
Journal:
Publicacions matematiques

ISSN: 0214-1493

Year of publication: 2015

Volume: 59

Issue: 1

Pages: 3-16

Type: Article

DOI: 10.5565/PUBLMAT_59115_01 DIALNET GOOGLE SCHOLAR lock_openDDD editor

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.