Graph-wreath products and finiteness conditions

• P.H. Kropholler ^[1] ; A. Martino ^[1]
  1. [1] University of Southampton

     University of Southampton

     GB.ENG.M4.24UJ, Reino Unido

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 1 (January 2016), 2016, págs. 422-434
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.07.001
• Enlaces
  • Texto completo
• Resumen

  • A notion of graph-wreath product of groups is introduced. We obtain sufficient conditions for these products to satisfy the topologically inspired finiteness condition type Fn. Under various additional assumptions we show that these conditions are necessary. Our results generalise results of Bartholdi, Cornulier and Kochloukova about wreath products. Graph-wreath products of groups include classical permutational wreath products and semidirect products of right-angled Artin groups by certain groups of automorphisms amongst others.