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The Hypercentre and the n-Centre of the Unit Group of an Integral Group Ring

Published online by Cambridge University Press:  20 November 2018

Yuanlin Li
Affiliation:
Department of Mathematics and Statistics Memorial University of Newfoundland St. John's, Newfoundland A1C 5S7, e-mail: yuanlin@math.mun.ca
Corresponding
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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 $n\,\ge \,2$ ).

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1998

References

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