Geodesic
Property (T) in density-type models of random groups
Calum James Ashcroft1
1University of Cambridge, UK
Groups, geometry, and dynamics, Tome 17 (2023) no. 4, pp. 1325-1356

Voir la notice de l'article provenant de la source EMS Press

DOI

We study property (T) in the Γ(n,k,d) model of random groups: as k tends to infinity this gives the Gromov density model, introduced in 1993. We provide bounds for property (T) in the k-angular model of random groups, i.e., the Γ(n,k,d) model, where k is fixed and n tends to infinity. We also prove that for d>1/3, a random group in the Γ(n,k,d) model has property (T) with probability tending to 1 as k tends to infinity, strengthening the results of Żuk and Kotowski–Kotowski, who consider only groups in the Γ(n,3k,d) model.
DOI : 10.4171/ggd/730
Classification : 20-XX, 22-XX
Mots-clés : Random groups, property (T)

Calum James Ashcroft  1

1 University of Cambridge, UK 
Calum James Ashcroft. Property (T) in density-type models of random groups. Groups, geometry, and dynamics, Tome 17 (2023) no. 4, pp. 1325-1356. doi: 10.4171/ggd/730
@article{10_4171_ggd_730,
     author = {Calum James Ashcroft},
     title = {Property {(T)} in density-type models of random groups},
     journal = {Groups, geometry, and dynamics},
     pages = {1325--1356},
     year = {2023},
     volume = {17},
     number = {4},
     doi = {10.4171/ggd/730},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/730/}
}
TY  - JOUR
AU  - Calum James Ashcroft
TI  - Property (T) in density-type models of random groups
JO  - Groups, geometry, and dynamics
PY  - 2023
SP  - 1325
EP  - 1356
VL  - 17
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/730/
DO  - 10.4171/ggd/730
ID  - 10_4171_ggd_730
ER  - 
%0 Journal Article
%A Calum James Ashcroft
%T Property (T) in density-type models of random groups
%J Groups, geometry, and dynamics
%D 2023
%P 1325-1356
%V 17
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/730/
%R 10.4171/ggd/730
%F 10_4171_ggd_730

Cité par Sources :