Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-27T07:26:49.518Z Has data issue: false hasContentIssue false
  • English
  • Français

Abelian Groups that are unions of proper subgroups

Published online by Cambridge University Press:  17 April 2009

K.P.S. Bhaskara Rao  and
J.D. Reid
K.P.S. Bhaskara Rao
Affiliation:
Indian Statistical Institute, 8th Mile, Mysore Road Bangalore 560059, India
J.D. Reid
Affiliation:
Department of Mathematics, Wesleyan University Middletown, CT 06457, United States of America
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.

The abelian groups that can be written as a union of proper subgroups are characterised, all the ways that this can be done for a given group are indicated, and the minimal number of subgroups necessary for such a decomposition of a given group is determined.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 1 - 7
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Fuchs, L., Abelian groups, Vol. I, II (Academic Press, New York, 1970).Google Scholar
[2]Bhaskara Rao, K.P.S. and Ramachandra Rao, A., ‘Unions and common complements of subspaces’, Amer. Math. Monthly (to appear).Google Scholar
[3]Samuel, Pierre, Algebraic theory of numbers (Hermann, Paris, 1970).Google Scholar