Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-28T22:58:07.703Z Has data issue: false hasContentIssue false
  • English
  • Français

On the units of a modular group ring II

Published online by Cambridge University Press:  17 April 2009

K.R. Pearson
K.R. Pearson
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Victoria.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let R be a ring of nonzero characteristic and let G be a finite group with subgroup H. It is shown that H is a normal subgroup of the group of units of the group ring RG if and only if H is contained in the centre of G or R is the field with 2 elements, G is the symmetric group on 3 letters and H is normal in G.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 3 , June 1973 , pp. 435 - 442
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Artin, E., Geometric algebra (Interscience, New York, London, 1957).Google Scholar
[2]Eldridge, Klaus E., “On normal subgroups in modular group algebras”, (unpublished).Google Scholar
[3]Lambek, J., Lectures an rings and modules (Blaisdell, Waltham, Massachusetts, 1966).Google Scholar
[4]Pearson, K.R., “On the units of a modular group ring”, Bull. Austral. Math. Soc. 7 (1972), 169–182.CrossRefGoogle Scholar