Finitely presented simple groups and products of treesGroupes simples de présentation finie et produits d'arbres

*
https://doi.org/10.1016/S0764-4442(97)86938-8Get rights and content

Abstract

We construct lattices in Aut Tn x Aut Tm which are finitely presented, torsion free, simple groups.

Résumé

Nous construisons des réseaux de Aut Tn x Aut Tm qui sont de présentation finie, simples et sans torsion.

References (13)

  • BhattacharjeeM.

    Constructing finitely presented infinite nearly simple groups

    Comm. in Algebra

    (1994)
  • BochertA.

    Lieber die Classe der transitiven Substitutionengruppen II

    Math. Annalen

    (1897)
  • Burger M. and Mozes S. Totally disconnected groups and lattices in Aut Tn x Aut Tm. in...
  • Burger M., Mozes S. and Zimmer R.J. Linear representations and arithmeticity for lattices in AutTn x autTm in...
  • CameronP.J.

    Permutation groups

  • GerstenS. et al.

    Small cancelation theory and automatic groups

    Invent. Math.

    (1990)
There are more references available in the full text version of this article.

Cited by (128)

  • Generalized polygons and star graphs of cyclic presentations of groups

    2022, Journal of Combinatorial Theory. Series A
  • Splittings of triangle Artin groups

    2024, Groups, Geometry, and Dynamics
View all citing articles on Scopus
View full text