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math.GR2008
The action of a nilpotent group on its horofunction boundary has finite orbits
Cormac Walsh
We study the action of a nilpotent group G with finite generating set S on its horofunction boundary. We show that there is one finite orbit associated to each facet of the polytop…
math.GR2007★ 1 cited
Busemann points of Artin groups of dihedral type
Cormac Walsh
We study the horofunction boundary of an Artin group of dihedral type with its word metric coming from either the usual Artin generators or the dual generators. In both cases, we d…