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Note on the extensions of Butler groups

Published online by Cambridge University Press:  17 April 2009

L. Fuchs  and
G. Viljoen
L. Fuchs
Affiliation:
Department of Mathematics, Tulane University, New Orleans LA 70118, United States of America
G. Viljoen
Affiliation:
Department of Mathematics, University of Orange Free State, Bloemfontein 9300, Republic of South Africa
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Abstract

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In terms of a new notion, called prebalancedness, those extensions of a Butler group by a Butler group which are again Butler groups are characterised. It is shown that the prebalanced extensions of torsion-free abelian groups form a divisible subgroup in the group of extensions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 1 , February 1990 , pp. 117 - 122
Copyright
Copyright © Australian Mathematical Society 1990

References

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