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19932026
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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math.GR2025

Structure groups and second homology groups of linear Alexander quandles

Adrien Clément

Quandles are self-distributive algebraic structures known as sources of strong knots invariants, but also appearing in other contexts. From any quandle, one can construct two invar…

math.GR2024

On the space of subgroups of Baumslag-Solitar groups II: High transitivity

Damien Gaboriau, François Le Maître, Yves Stalder

We continue our study of the perfect kernel of the space of transitive actions of Baumslag-Solitar groups by investigating high transitivity. We show that actions of finite phenoty…

math.GR2024

Burau representation of and quantization of the rational projective plane

Perrine Jouteur

The braid group naturally acts on the rational projective plane , this action corresponds to the classical integral reduced Burau representation of…

math.GR2024

Retraction to a parabolic subgroup and applications

François Digne, Eddy Godelle, Jean Michel

We continue the study of the retraction from an Artin group to a standard parabolic subgroup introduced by Blufstein, Charney, Paris and the second author. Using right and left ret…

math.GR2024

Dimension and partial groups

Philip Hackney, Rémi Molinier

A partial group with elements is, when regarded as a symmetric simplicial set, of dimension at most . This dimension is if and only if the partial group is a group. As…

math.GR2024

Low complexity among principal fully irreducible elements of Out()

Naomi Andrew, Paige Hillen, Robert Alonzo Lyman +1

We find the shortest realized stretch factor for a fully irreducible and show that it is realized by a "principal" fully irreducible element. We also show t…