10 citations · 11 across the 5 of their papers we have counts for
5 papers
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…
Trivalent vertex-transitive graphs with infinite vertex-stabilizers
Arnbjörg Soffía Árnadóttir, Waltraud Lederle, Rögnvaldur G. Möller
We study groups acting vertex-transitively on connected, trivalent graphs such that stabilizers of vertices are infinite. If the action is edge-transitive, we prove that the graph…
Infinite arc-transitive and highly-arc-transitive digraphs
Rögnvaldur G. Möller, Primož Potočnik, Norbert Seifter
A detailed description of the structure of two-ended arc-transitive digraphs is given. It is also shown that several sets of conditions, involving such concepts as Property Z, loca…
Sharply -arc-transitive-digraphs: finite and infinite examples
Rögnvaldur G. Möller, Primož Potočnik, Norbert Seifter
A general method for constructing sharply -arc-transitive digraphs, i.e. digraphs that are -arc-transitive but not -arc-transitive, is presented. Using our method it i…
Graphs, permutations and topological groups
Rognvaldur G. Moller
Various connections between the theory of permutation groups and the theory of topological groups are described. These connections are applied in permutation group theory and in th…