A group action on a metric space is called growth tight if the exponential growth rate of the group with respect to the induced pseudo-metric is strictly greater than that of its quotients. A prototypical example is the action of a free group on its Cayley graph with respect to a free generating set. More generally, with Arzhantseva we have shown that group actions with strongly contracting elements are growth tight.
1
University of Vienna, Wien, Austria
2
University of Oklahoma, Norman, USA
Christopher H. Cashen; Jing Tao. Growth tight actions of product groups. Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 753-770. doi: 10.4171/ggd/364
@article{10_4171_ggd_364,
author = {Christopher H. Cashen and Jing Tao},
title = {Growth tight actions of product groups},
journal = {Groups, geometry, and dynamics},
pages = {753--770},
year = {2016},
volume = {10},
number = {2},
doi = {10.4171/ggd/364},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/364/}
}
TY - JOUR
AU - Christopher H. Cashen
AU - Jing Tao
TI - Growth tight actions of product groups
JO - Groups, geometry, and dynamics
PY - 2016
SP - 753
EP - 770
VL - 10
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/364/
DO - 10.4171/ggd/364
ID - 10_4171_ggd_364
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%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/364/
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