TY - JOUR
A1 - Cuno, Johannes
A1 - Lehnert, Jörg
T1 - The Tits alternative for non-spherical triangles of groups
T2 - Transactions of the London Mathematical Society
N2 - Triangles of groups have been introduced by Gersten and Stallings. They are, roughly speaking, a generalization of the amalgamated free product of two groups and occur in the framework of Corson diagrams. First, we prove an intersection theorem for Corson diagrams. Then, we focus on triangles of groups. It has been shown by Howie and Kopteva that the colimit of a hyperbolic triangle of groups contains a non-abelian free subgroup. We give two natural conditions, each of which ensures that the colimit of a non-spherical triangle of groups either contains a non-abelian free subgroup or is virtually solvable.
Y1 - 2015
UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/39260
UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-392607
UR - http://tlms.oxfordjournals.org/content/2/1/93.full.pdf
SN - 2052-4986
N1 - (c) 2015 Author(s). This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
VL - 2
IS - 1
SP - 93
EP - 124
PB - Oxford Univ. Press
CY - Oxford
ER -