Properties of the combinatorial Hantzsche-Wendt groups
Algebraic Topology
2022-02-03 v6
Abstract
Combinatorial Hantzsche-Wendt groups G(n) were defined by W. Craig and P. A. Linnell. For n = 2 it is a fundamental group of 3-dimensional oriented flat manifold with no cyclic holonomy group. We calculate the Hilbert-Poincare series of G(n), n > 0 with Q and F2 coefficients. Moreover, we prove that a cohomological dimension of G(n) is equal to n + 1. Some other properties of this group are also considered.
Keywords
Cite
@article{arxiv.2103.12494,
title = {Properties of the combinatorial Hantzsche-Wendt groups},
author = {J. Popko and A. Szczepanski},
journal= {arXiv preprint arXiv:2103.12494},
year = {2022}
}
Comments
1 8pages