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The hypercentre and the $n$-centre of the unit group of an integral group ring |
Canad. J. Math. 50(1998), 401-411
Published:1998-04-01
Printed: Apr 1998
Printed: Apr 1998
- Yuanlin Li
Abstract
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 $n \geq 2$).
| MSC Classifications: |
16U60 - Units, groups of units 20C05 - Group rings of finite groups and their modules [See also 16S34] |