Lifting graph automorphisms along solvable regular covers
Geometric Topology
2024-02-27 v5
Abstract
A {\em solvable} cover of a graph is a regular cover whose covering transformation group is solvable. In this paper, we show that a solvable cover of a graph can be decomposed into layers of abelian covers, and also, a lift of a given automorphism of the base graph of a solvable cover can be decomposed into layers of lifts of the automorphism in the layers of the abelian covers. This procedure is applied to classify metacyclic covers of the tetrahedron branched at face-centers.
Cite
@article{arxiv.1209.4283,
title = {Lifting graph automorphisms along solvable regular covers},
author = {Haimiao Chen and Jin Ho Kwak},
journal= {arXiv preprint arXiv:1209.4283},
year = {2024}
}
Comments
23 pages, 1 figures