Constructing 2-Arc-Transitive Covers of Hypercubes
Combinatorics
2019-05-08 v2
Abstract
We introduce the notion of a symmetric basis of a vector space equipped with a quadratic form, and provide a sufficient and necessary condition for the existence to such a basis. Symmetric bases are then used to study Cayley graphs of certain extraspecial 2-groups of order 2^{2r+1} (r\geq 1), which are further shown to be normal Cayley graphs and 2-arc-transitive covers of 2r-dimensional hypercubes.
Cite
@article{arxiv.1805.06371,
title = {Constructing 2-Arc-Transitive Covers of Hypercubes},
author = {Michael Giudici and Cai Heng Li and Yian Xu},
journal= {arXiv preprint arXiv:1805.06371},
year = {2019}
}