We produce examples of groups of type F3 with 2-dimensional Dehn functions of the form expn(x) (a tower of exponentials of height n), where n is any natural number.
@article{10_4171_ggd_149,
author = {Josh Barnard and Noel Brady and Pallavi Dani},
title = {Super-exponential 2-dimensional {Dehn} functions},
journal = {Groups, geometry, and dynamics},
pages = {1--51},
year = {2012},
volume = {6},
number = {1},
doi = {10.4171/ggd/149},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/149/}
}
TY - JOUR
AU - Josh Barnard
AU - Noel Brady
AU - Pallavi Dani
TI - Super-exponential 2-dimensional Dehn functions
JO - Groups, geometry, and dynamics
PY - 2012
SP - 1
EP - 51
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/149/
DO - 10.4171/ggd/149
ID - 10_4171_ggd_149
ER -