144 citations · 600 across the 40 of their papers we have counts for
43 papers
Locally compact modules over abelian groups and compactly generated metabelian groups
Yves Cornulier
We perform a general study of the structure of locally compact modules over compactly generated abelian groups. We obtain a devissage result for such modules of the form "compact-b…
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…
Property FW and 1-dimensional piecewise groups
Yves Cornulier
Property FW is a natural combinatorial weakening of Kazhdan's Property T. We prove that the group of piecewise homographic self-transformations of the real projective line, has "fe…
First-order recognisability in finite and pseudofinite groups
Yves Cornulier, John S. Wilson
It is known that there exists a first-order sentence that holds in a finite group if and only if the group is soluble. Here it is shown that the corresponding statements with 'solu…
Regularization of birational actions of FW groups
Yves Cornulier
We prove that every birational action of a group with Property FW can be regularized.
On groups with weak Sierpiński subsets
Agnieszka Bier, Yves de Cornulier, Piotr Słanina
In a group , a weak Sierpiński subset is a subset such that for some and , we have and . In thi…