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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
Yuanlin Li*
Affiliation:
Department of Mathematics and Statistics Memorial University of Newfoundland St. John's, Newfoundland A1C 5S7, e-mail: yuanlin@math.mun.ca
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Abstract

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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 $n\,\ge \,2$).

Keywords

16U6020C05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 2 , 01 April 1998 , pp. 401 - 411
Copyright
Copyright © Canadian Mathematical Society 1998

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