66 citations · 277 across the 37 of their papers we have counts for
6 papers · 1 filter
Graphs of group actions and group actions on trees
Florian Lehner, Christian Lindorfer, Rögnvaldur G. Möller +1
Bass-Serre theory provides a powerful framework for studying group actions on trees. While extremely effective for structural questions in group theory, it is less suited to the sy…
What is a horocyclic product, and how is it related to lamplighters?
Wolfgang Woess
This is a rather personal introductory outline of an interesting class of geometric, resp. graph- and group-theoretical structures. After an introductive section about their genesi…
Context-free pairs of groups. II - cuts, tree sets, and random walks
Wolfgang Woess
This is a continuation of the study, begun by Ceccherini-Silberstein and Woess, of context-free pairs of groups and the related context-free graphs in the sense of Muller and Schup…
Context-free pairs of groups I: Context-free pairs and graphs
Tullio Ceccherini-Silberstein, Wolfgang Woess
Let be a finitely generated group, a finite set of generators and a subgroup of . We call the pair context-free if the set of all words over that reduce…
Horocyclic products of trees
Laurent Bartholdi, Markus Neuhauser, Wolfgang Woess
Let T_1,..., T_d be homogeneous trees with degrees q_1+1,..., q_d+1>=3, respectively. For each tree, let h:T_j->Z be the Busemann function with respect to a fixed boundary point (e…
Spectral computations on lamplighter groups and Diestel-Leader graphs
Laurent Bartholdi, Wolfgang Woess
The Diestel-Leader graph DL(q,r) is the horocyclic product of the homogeneous trees with respective degrees q+1 and r+1. When q=r, it is the Cayley graph of the lamplighter group (…