English

Computing the order and the index of a subgroup in a polycyclic group

Group Theory 2021-02-09 v1

Abstract

This contains a new version of the so-called non-commutative Gauss algorithm for polycyclic groups. Its results allow to read off the order and the index of a subgroup in an (possibly infinite) polycyclic group.

Keywords

Cite

@article{arxiv.2102.04023,
  title  = {Computing the order and the index of a subgroup in a polycyclic group},
  author = {Bettina Eick},
  journal= {arXiv preprint arXiv:2102.04023},
  year   = {2021}
}