7 citations · 9 across the 4 of their papers we have counts for
5 papers
Commensurations and Metric Properties of Houghton's Groups
José Burillo, Sean Cleary, Armando Martino +1
We describe the automorphism groups and the abstract commensurators of Houghton's groups. Then we give sharp estimates for the word metric of these groups and deduce that the comme…
Obstructions for subgroups of Thompson's group
José Burillo, Sean Cleary, Claas E. Röver
Thompson's group has a rich variety of subgroups, containing all finite groups, all finitely generated free groups and all finitely generated abelian groups, the finitary permu…
Addendum to "Commensurations and Subgroups of Finite Index of Thompson's Group F"
José Burillo, Sean Cleary, Claas E. Röver
We show that the abstract commensurator of Thompson's group F is composed of four building blocks: two isomorphism types of simple groups, the multiplicative group of the positive…
A Note on Element Centralizers in Finite Coxeter Groups
Matjaž Konvalinka, Götz Pfeiffer, Claas Röver
The normalizer of a standard parabolic subgroup of a finite Coxeter group splits over the parabolic subgroup with complement consisting of certain minima…
Commensurations and Subgroups of Finite Index of Thompson's Group F
José Burillo, Sean Cleary, Claas E. Röver
We determine the abstract commensurator com(F) of Thompson's group F and describe it in terms of piecewise linear homeomorphisms of the real line and in terms of tree pair diagrams…