3 papers
math.GR2026
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. W…
math.CO2025
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…
math.RA2025
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…