Systolic groups acting on complexes with no flats are word-hyperbolic

Piotr Przytycki. "Systolic groups acting on complexes with no flats are word-hyperbolic." Fundamenta Mathematicae 193.3 (2007): 277-283. <http://eudml.org/doc/282768>.

@article{PiotrPrzytycki2007,
abstract = {We prove that if a group acts properly and cocompactly on a systolic complex, in whose 1-skeleton there is no isometrically embedded copy of the 1-skeleton of an equilaterally triangulated Euclidean plane, then the group is word-hyperbolic. This was conjectured by D. T. Wise.},
author = {Piotr Przytycki},
journal = {Fundamenta Mathematicae},
keywords = {systolic groups; CAT(0) spaces; simplicial complexes; flat planes; word hyperbolic groups; systolic complexes},
language = {eng},
number = {3},
pages = {277-283},
title = {Systolic groups acting on complexes with no flats are word-hyperbolic},
url = {http://eudml.org/doc/282768},
volume = {193},
year = {2007},
}

TY - JOUR
AU - Piotr Przytycki
TI - Systolic groups acting on complexes with no flats are word-hyperbolic
JO - Fundamenta Mathematicae
PY - 2007
VL - 193
IS - 3
SP - 277
EP - 283
AB - We prove that if a group acts properly and cocompactly on a systolic complex, in whose 1-skeleton there is no isometrically embedded copy of the 1-skeleton of an equilaterally triangulated Euclidean plane, then the group is word-hyperbolic. This was conjectured by D. T. Wise.
LA - eng
KW - systolic groups; CAT(0) spaces; simplicial complexes; flat planes; word hyperbolic groups; systolic complexes
UR - http://eudml.org/doc/282768
ER -