6 citations · 22 across the 13 of their papers we have counts for
13 papers
Piecewise isometry groups of Euclidean tessellations
Robert Bieri, Alex Feingold, Daniel Studenmund
Given a tessellation of Euclidean or hyperbolic space, the piecewise isometry group is the group whose elements are given by cutting space into finitely many tessellated convex sub…
Groups of piecewise isometric permutations of lattice points or finitary rearrangements of tessellations
Robert Bieri, Heike Sach
Through the glasses of didactic reduction: We consider a (periodic) tessellation of either Euclidean or hyperbolic -space . By a piecewise isometric rearrangement of …
Higher horospherical limit sets for G-modules over CAT(0) spaces
Robert Bieri, Ross Geoghegan
The Sigma-invariants of Bieri-Neumann-Strebel and Bieri-Renz involve an action of a discrete group G on a geometrically suitable space M. In the early versions, M was always a fini…
Groups of piecewise isometric permutations of lattice points
Robert Bieri, Heike Sach
Let M denote either Euclidean or hyperbolic n-space, and let G be a discrete group of isometries of M, with the property that G respects and acts tile-transitively on a convex-poly…
On Groups of PL-homeomorphisms of the Real Line
Robert Bieri, Ralph Strebel
Richard J. Thompson invented his group F in the 60s; it is a group full of surprises: it has a finite presentation with 2 generators and 2 relators, and a derived group that is sim…
Limit sets for modules over groups on CAT(0) spaces -- from the Euclidean to the hyperbolic
Robert Bieri, Ross Geoghegan
The observation that the 0-dimensional Geometric Invariant of Bieri-Neumann-Strebel-Renz can be interpreted as a horospherical limit set opens a direct trail from Poin…