Integral group rings with all central units trivial
Rings and Algebras
2018-06-21 v1
Abstract
The object of study in this paper is the finite groups whose integral group rings have only trivial central units. Prime-power groups and metacyclic groups with this property are characterized. Metacyclic groups are classified according to the central height of the unit groups of their integral group rings.
Cite
@article{arxiv.1606.06860,
title = {Integral group rings with all central units trivial},
author = {Gurmeet K. Bakshi and Sugandha Maheshwary and Inder Bir S. Passi},
journal= {arXiv preprint arXiv:1606.06860},
year = {2018}
}
Comments
15 pages