Abstract
We explain and generalize a construction due to Gromov to realize geometric small cancelation groups over graphs of groups as fundamental groups of non-positively curved 2-dimensional complexes of groups. We then give conditions so that the hyperbolicity and some finiteness properties of the small cancelation quotient can be deduced from analogous properties for the local groups of the initial graph of groups.
Original language | English |
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Pages (from-to) | 193-223 |
Number of pages | 31 |
Journal | Bulletin de la Société Mathématique de France |
Volume | 145 |
Issue number | 2 |
DOIs | |
Publication status | Published - Dec 2017 |