Monochromatic Regular Polygons in finitely colored $\mathbb{Z}_2 *\mathbb{Z}_2 *\mathbb{Z}_2$
Combinatorics
2018-07-26 v1 Dynamical Systems
Abstract
We show that for any finite coloring of the group and for any positive integer , there always exists a monochromatic regular -gon in with respect to the word length metric induced by the standard generating set; the edge length of which is estimated.
Keywords
Cite
@article{arxiv.1807.09411,
title = {Monochromatic Regular Polygons in finitely colored $\mathbb{Z}_2 *\mathbb{Z}_2 *\mathbb{Z}_2$},
author = {Hui Xu and Enhui Shi},
journal= {arXiv preprint arXiv:1807.09411},
year = {2018}
}