most citedGroups of piecewise isometric permutations of lattice points

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.GR2021

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 …

math.GR2016

FPn properties of generalized Houghton groups

Heike Sach

This Thesis presents a 2-dimensional generalization of Houghtons' groups H_n. H_n is defined to be the group of all permutations p of a disjoint union of copies of the natural numb…

math.GR2016★ 1 cited

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…