Deck transformations of developable complexes of groups
Group Theory
2026-04-10 v1
Abstract
We introduce the concept of deck transformations within the category of developable complexes of groups. Drawing inspiration from classical covering theory for topological spaces, we propose an alternative construction of the universal development of a developable complex of groups, formulated in terms of equivalence classes of paths. This framework allows us to provide a natural characterization of the group of deck transformations.
Cite
@article{arxiv.2604.08436,
title = {Deck transformations of developable complexes of groups},
author = {Alexander Nath},
journal= {arXiv preprint arXiv:2604.08436},
year = {2026}
}
Comments
20 pages, 2 figures