English

Primitive finite nilpotent linear groups over number fields

Group Theory 2015-06-03 v1

Abstract

Building upon the author's previous work on primitivity testing of finite nilpotent linear groups over fields of characteristic zero, we describe precisely those finite nilpotent groups which arise as primitive linear groups over a given number field. Our description is based on arithmetic conditions involving invariants of the field.

Keywords

Cite

@article{arxiv.1506.00811,
  title  = {Primitive finite nilpotent linear groups over number fields},
  author = {Tobias Rossmann},
  journal= {arXiv preprint arXiv:1506.00811},
  year   = {2015}
}

Comments

20 pages

R2 v1 2026-06-22T09:45:39.808Z