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Units of Integral Group Rings of Some Metacyclic Groups

Published online by Cambridge University Press:  20 November 2018

Eric Jespers ,
Guilherme Leal  and
C. Polcino Milies
Eric Jespers
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland St. John's, Newfoundland A1C 5S7
Guilherme Leal
Affiliation:
Instituto de Matemática Universidade Federal do Rio de Janeiro Caixa Postal 68530 21910 Rio de Janeiro Brasil
C. Polcino Milies
Affiliation:
Instituto de Matemática e Estatística Universidade de São Paulo Caixa Postal 20570—Ag. Iguatemi 01498-São Paulo Brasil
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Abstract

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In this paper, we consider all metacyclic groups of the type 〈a,b | an - 1, b2 = 1, ba = aib〉 and give a concrete description of their rational group algebras. As a consequence we obtain, in a natural way, units which generate a subgroup of finite index in the full unit group, for almost all such groups.

Keywords

20C0516S3416U60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994 , pp. 228 - 237
Copyright
Copyright © Canadian Mathematical Society 1994

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