23 citations · 79 across the 26 of their papers we have counts for
17 papers · 1 filter
Silhouettes and generic properties of subgroups of the modular group
Frédérique Bassino, Cyril Nicaud, Pascal Weil
We show that the probability for a finitely generated subgroup of the modular group, of size , to be almost malnormal or non-parabolic, tends to 0 as tends to infinity -- wh…
The central tree property and algorithmic problems on subgroups of free groups
Mallika Roy, Enric Ventura, Pascal Weil
We study the average case complexity of the uniform membership problem for subgroups of free groups, and we show that it is orders of magnitude smaller than the worst case complexi…
Silhouettes and generic properties of subgroups of the modular group
Frédérique Bassino, Cyril Nicaud, Pascal Weil
We show how to count and randomly generate finitely generated subgroups of the modular group of a given isomorphism type. We also prove that almost mal…
Statistics of subgroups of the modular group
Frédérique Bassino, Cyril Nicaud, Pascal Weil
We count the finitely generated subgroups of the modular group . More precisely: each such subgroup can be represented by its Stallings graph …
On the generalized membership problem in relatively hyperbolic groups
Olga Kharlampovich, Pascal Weil
The aim of this short note is to provide a proof of the decidability of the generalized membership problem for relatively quasi-convex subgroups of finitely presented relatively hy…
Random presentations and random subgroups: a survey
Frédérique Bassino, Cyril Nicaud, Pascal Weil
This is a survey of results on random group presentations, and on random subgroups of certain fixed groups. Being a survey, this paper does not contain new results, but it offers a…