1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GR2022
On groups of rectangle exchange transformations
Yves Cornulier, Octave Lacourte
We study a generalization Rec_d of the group IET=Rec_1 of interval exchange transformations in every dimension d>0, called the rectangle exchange transformations group. The subset…
math.GR2020★ 1 cited
Abelianization of some groups of interval exchanges
Octave Lacourte
Let IET be the group of bijections from to itself that are continuous outside a finite set, right-continuous and piecewise translations. The abelian…
math.GR2020★ 1 cited
Signature for piecewise continuous groups
Octave Lacourte
Let PC be the group of bijections from [0, 1[ to itself which are continuous outside a finite set. Let PC be its quotient by the subgroup of finitely supported permutations. We sho…