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The hypercentre and the $n$-centre of the unit group of an integral group ring

  Published:1998-04-01
 Printed: Apr 1998
  • Yuanlin Li
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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, 20C05 show english descriptions Units, groups of units
Group rings of finite groups and their modules [See also 16S34]
16U60 - Units, groups of units
20C05 - Group rings of finite groups and their modules [See also 16S34]
 

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