We consider groups defined by cyclic presentations where the defining word has length 3 and the cyclic presentation satisfies the T(6) small cancellation condition. We classify when these groups are hyperbolic.When combined with known results, this completely classifies the hyperbolic T(6) cyclically presented groups.
@article{10_4171_ggd_651,
author = {Ihechukwu Chinyere and Gerald Williams},
title = {Hyperbolicity of $T$(6) cyclically presented groups},
journal = {Groups, geometry, and dynamics},
pages = {341--361},
year = {2022},
volume = {16},
number = {1},
doi = {10.4171/ggd/651},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/651/}
}
TY - JOUR
AU - Ihechukwu Chinyere
AU - Gerald Williams
TI - Hyperbolicity of $T$(6) cyclically presented groups
JO - Groups, geometry, and dynamics
PY - 2022
SP - 341
EP - 361
VL - 16
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/651/
DO - 10.4171/ggd/651
ID - 10_4171_ggd_651
ER -
%0 Journal Article
%A Ihechukwu Chinyere
%A Gerald Williams
%T Hyperbolicity of $T$(6) cyclically presented groups
%J Groups, geometry, and dynamics
%D 2022
%P 341-361
%V 16
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/651/
%R 10.4171/ggd/651
%F 10_4171_ggd_651