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Integral Group Rings Without Proper Units

Published online by Cambridge University Press:  20 November 2018

K. Hoechsmann and
S.K. Sehgal
K. Hoechsmann
Affiliation:
University of British Columbia Vancouver
S.K. Sehgal
Affiliation:
University of Alberta Edmonton Canada
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Abstract

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If A is an elementary abelian ρ-group and C one of its cyclic subgroups, the integral group rings ZA contains, of course, the ring ZC. It will be shown below, for A of rank 2 and ρ a regular prime, that every unit of ZA is a product of units of ZC, as C ranges over all cyclic subgroups.

Keywords

Primary 20C05Secondary 16A2516A18

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 1 , 01 March 1987, pp. 36 - 42
Copyright
Copyright © Canadian Mathematical Society 01

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