2 papers
math.CO2012
Connected-homomorphism-homogeneous graphs
Deborah Lockett
A relational structure is (connected-)homogeneous if every isomorphism between finite (connected) substructures extends to an automorphism of the structure. We investigate notions…
math.GR2012
Orbit-equivalent infinite permutation groups
Debbie Lockett, Dugald Macpherson
Let G,H be closed permutation groups on an infinite set X, with H a subgroup of G. It is shown that if G and H are orbit-equivalent, that is, have the same orbits on the collection…