Properties of the combinatorial Hantzsche-Wendt groups

Autor:	Popko, J., Szczepanski, A.
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Topology 20J05 55N20 55R20 20E18
Druh dokumentu:	Working Paper
Popis:	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. Comment: 1 8pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.12494 Zobrazit plný text záznamu View this record from Arxiv