Geodesic
Property (T) in k-gonal random groups
Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 734-738

Voir la notice de l'article provenant de la source Cambridge

DOI

The k-gonal models of random groups are defined as the quotients of free groups on n generators by cyclically reduced words of length k. As k tends to infinity, this model approaches the Gromov density model. In this paper, we show that for any fixed $d_0 \in (0, 1)$, if positive k-gonal random groups satisfy Property (T) with overwhelming probability for densities $d >d_0$, then so do jk-gonal random groups, for any $j \in \mathbb{N}$. In particular, this shows that for densities above 1/3, groups in 3k-gonal models satisfy Property (T) with probability 1 as n approaches infinity.
DOI : 10.1017/S0017089522000040
Mots-clés : random groups, property (T) 
Montee, MurphyKate. Property (T) in k-gonal random groups. Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 734-738. doi: 10.1017/S0017089522000040
@article{10_1017_S0017089522000040,
     author = {Montee, MurphyKate},
     title = {Property {(T)} in k-gonal random groups},
     journal = {Glasgow mathematical journal},
     pages = {734--738},
     year = {2022},
     volume = {64},
     number = {3},
     doi = {10.1017/S0017089522000040},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000040/}
}
TY  - JOUR
AU  - Montee, MurphyKate
TI  - Property (T) in k-gonal random groups
JO  - Glasgow mathematical journal
PY  - 2022
SP  - 734
EP  - 738
VL  - 64
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000040/
DO  - 10.1017/S0017089522000040
ID  - 10_1017_S0017089522000040
ER  - 
%0 Journal Article
%A Montee, MurphyKate
%T Property (T) in k-gonal random groups
%J Glasgow mathematical journal
%D 2022
%P 734-738
%V 64
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000040/
%R 10.1017/S0017089522000040
%F 10_1017_S0017089522000040

Cité par Sources :