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An Induction Theorem for Units of p-Adic Group Rings

Published online by Cambridge University Press:  20 November 2018

A. K. Bhandari  and
S. K. Sehgal
A. K. Bhandari
Affiliation:
Department of Mathematics, Panjab University, Chandigarh, India 160014
S. K. Sehgal
Affiliation:
Department of Mathematics, Faculty of Science, University of Alberta, Edmonton, Alberta T6G 2G1
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Abstract

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Let G be a finite group and let C be the family of cyclic subgroups of G. We show that the normal subgroup H of U = U(ZpG) generated by U(ZpC), C ∊ C, where Zp is the ring of p-adic integers, is of finite index in U.

Keywords

16A2516A2620C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 31 - 35
Copyright
Copyright © Canadian Mathematical Society 1991

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