Conjugacy in Houghton’s groups

• Yago Antolin ^[1] ; José Burillo ^[3] ; Armando Martino ^[2]
  1. [1] University of Neuchâtel

     University of Neuchâtel

     Neuchâtel, Suiza

     
  2. [2] University of Southampton

     University of Southampton

     GB.ENG.M4.24UJ, Reino Unido

     
  3. [3] Universitat Polit`ecnica de Catalunya. Departament de Matemàtica Aplicada IV

  Mostrar afiliaciones +
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 59, Nº 1, 2015, págs. 3-16
• Idioma: inglés
• DOI: 10.5565/PUBLMAT_59115_01
• Enlaces
  • Texto completo
• Resumen

  • 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.