English

Distinguishing crystallographic groups by their finite quotients

Group Theory 2020-04-16 v2

Abstract

Using the computer algebra program GAP, we show that all crystallographic groups in dimensions at most 4 are distinguished from each other by their sets of finite quotients.

Keywords

Cite

@article{arxiv.1910.09845,
  title  = {Distinguishing crystallographic groups by their finite quotients},
  author = {Paweł Piwek and David Popović and Gareth Wilkes},
  journal= {arXiv preprint arXiv:1910.09845},
  year   = {2020}
}

Comments

GAP code now included in ancillary files