TY  - JOUR
AB  - We give a criterion for a set of n hyperbolic isometries of a CAT(0) metric space X to generate a free group on n generators. This extends a result by Alperin, Farb, and Noskov who proved this for 2 generators under the additional assumption that X is complete and has no fake zero angles. Moreover, when X is locally compact, the group we obtain is also discrete. We then apply these results to Euclidean buildings.
AU  - Conder, Matthew J.
AU  - Schillewaert, Jeroen
DA  - 2022
DO  - 10.17879/23049544813
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 235
PY  - 2022
SP  - 235-240
T2  - Münster Journal of Mathematics
TI  - A strong Schottky lemma on n generators for CAT(0) spaces
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-23049545354
Y2  - 2024-11-22T13:25:56
ER  -