Chiral maps of given hyperbolic type on $A_k$
Combinatorics
2024-02-28 v1
Abstract
This paper proves the existence of a chiral map with alternating automorphism group for every hyperbolic type. We present a set of constructions using permutations for when at least one parameter is even, and call on previously known results for when both the valency and the face-length are odd.
Cite
@article{arxiv.2402.17055,
title = {Chiral maps of given hyperbolic type on $A_k$},
author = {Olivia Reade},
journal= {arXiv preprint arXiv:2402.17055},
year = {2024}
}
Comments
19 pages, 10 figures, 1 table