The hypercentre and the $n$-centre of the unit group of an integral group ring
Printed: Apr 1998
In this paper, we first show that the central height of the unit group of
the integral group ring of a periodic group is at most $2$. We then
give a complete characterization of the $n$-centre of that unit group.
The $n$-centre of the unit group is either the centre or the second
centre (for $n \geq 2$).
16U60 - Units, groups of units
20C05 - Group rings of finite groups and their modules [See also 16S34]