We construct an uncountable family of groups of type FP. In contrast to every previous construction of non-finitely presented groups of type FP, we do not use Morse theory on cubical complexes; instead, we use Gromov’s graphical small cancellation theory.
Classification :
20J06, 20F06, 20F65, 57M07
Mots-clés :
homological finiteness conditions, graphical small cancellation, groups of type FP
Affiliations des auteurs :
Thomas M. Brown
1
;
Ian J. Leary
1
1
University of Southampton, Southampton, UK
Thomas M. Brown; Ian J. Leary. Groups of type $FP$ via graphical small cancellation. Groups, geometry, and dynamics, Tome 19 (2025) no. 1, pp. 1-35. doi: 10.4171/ggd/796
@article{10_4171_ggd_796,
author = {Thomas M. Brown and Ian J. Leary},
title = {Groups of type $FP$ via graphical small cancellation},
journal = {Groups, geometry, and dynamics},
pages = {1--35},
year = {2025},
volume = {19},
number = {1},
doi = {10.4171/ggd/796},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/796/}
}
TY - JOUR
AU - Thomas M. Brown
AU - Ian J. Leary
TI - Groups of type $FP$ via graphical small cancellation
JO - Groups, geometry, and dynamics
PY - 2025
SP - 1
EP - 35
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/796/
DO - 10.4171/ggd/796
ID - 10_4171_ggd_796
ER -
%0 Journal Article
%A Thomas M. Brown
%A Ian J. Leary
%T Groups of type $FP$ via graphical small cancellation
%J Groups, geometry, and dynamics
%D 2025
%P 1-35
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/796/
%R 10.4171/ggd/796
%F 10_4171_ggd_796
