4 papers
Gluing diagrams part 1: A constructive solution for the Higman-Thompson group isomorphism problem
Roman Gorazd
This paper introduces gluing diagrams, a combinatorial tool to construct homomorphisms between the shift pseudogroups of directed graphs and thus also their full groups of shifts.…
Cocompact unfolding trees
Roman Gorazd
This paper will show when a rooted path tree of a finite directed rooted graph has only finitely many orbits under the action of its undirected automorphism group (i.e. when it is…
Embedding Higman-Thompson groups of unfolding trees into the Leavitt path algebras
Roman Gorazd
The isomorphism problem of regular Higman-Thompson groups was solved in arXiv:1006.1759, via embedding it into the Leavitt algebra. In this paper, we will expand these results to e…
Classification of Label-Regular Directed Trees up to Almost Isomorphism
Roman Gorazd
This paper outlines a method to determine whether two label-regular directed trees, are isomorphic and when they are almost isomorphic. The approach involves reinterpreting label-r…