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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
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Abstract

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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