A Bieberbach theorem for crystallographic group extensions
Group Theory
2016-07-14 v1
Abstract
In this paper we prove that for each dimension there are only finitely many isomorphism classes of pairs of groups such that is an -dimensional crystallographic group and is a normal subgroup of such that is a crystallographic group.
Cite
@article{arxiv.1607.03503,
title = {A Bieberbach theorem for crystallographic group extensions},
author = {John G. Ratcliffe and Steven T. Tschantz},
journal= {arXiv preprint arXiv:1607.03503},
year = {2016}
}
Comments
18 pages. arXiv admin note: substantial text overlap with arXiv:1112.3981