The Tits alternative for non-spherical triangles of groups
- 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.
Author: | Johannes CunoORCiD, Jörg LehnertORCiDGND |
---|---|
URN: | urn:nbn:de:hebis:30:3-392607 |
URL: | http://tlms.oxfordjournals.org/content/2/1/93.full.pdf |
DOI: | https://doi.org/10.1112/tlms/tlv005 |
ISSN: | 2052-4986 |
Parent Title (German): | Transactions of the London Mathematical Society |
Publisher: | Oxford Univ. Press |
Place of publication: | Oxford |
Document Type: | Article |
Language: | English |
Year of Completion: | 2015 |
Year of first Publication: | 2015 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2016/02/09 |
Volume: | 2 |
Issue: | 1 |
Page Number: | 32 |
First Page: | 93 |
Last Page: | 124 |
Note: | (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. |
HeBIS-PPN: | 377447404 |
Institutes: | Informatik und Mathematik / Mathematik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung 4.0 |