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math.GR2023
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…
math.GR2023
Random generation of subgroups of the modular group with a fixed isomorphism type
Frédérique Bassino, Cyril Nicaud, Pascal Weil
We show how to efficiently count and generate uniformly at random finitely generated subgroups of the modular group of a given isomorphism type. The me…