On groups with linear sci growth

Louis Funar, Martha Giannoudovardi, and Daniele Ettore Otera. "On groups with linear sci growth." Fundamenta Mathematicae 228.1 (2015): 47-62. <http://eudml.org/doc/282918>.

@article{LouisFunar2015,
abstract = {We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci.},
author = {Louis Funar, Martha Giannoudovardi, Daniele Ettore Otera},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {1},
pages = {47-62},
title = {On groups with linear sci growth},
url = {http://eudml.org/doc/282918},
volume = {228},
year = {2015},
}

TY - JOUR
AU - Louis Funar
AU - Martha Giannoudovardi
AU - Daniele Ettore Otera
TI - On groups with linear sci growth
JO - Fundamenta Mathematicae
PY - 2015
VL - 228
IS - 1
SP - 47
EP - 62
AB - We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci.
LA - eng
UR - http://eudml.org/doc/282918
ER -