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The construction of diagrams for abelian groups

Published online by Cambridge University Press:  17 April 2009

Ernest C. Ackermann
Ernest C. Ackermann
Affiliation:
Department of Mathematics, Muhlenberg College, Allentown, Pennsylvania, USA.
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Abstract

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Christine W. Ayoub has defined diagrams for abelian groups and has shown that the structure of an abelian group A is determined by certain subgroups Ti of A which arise naturally from a given diagram for A. In this paper it is shown that a given diagram for A is formed from certain elementary diagrams for the Ti.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 3 , December 1975 , pp. 369 - 373
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Ayoub, Christine W., “On diagrams for abelian groups”, J. Number Theory 2 (1970), 442–458.Google Scholar
[2]Ayoub, Christine W., “On the groups of units of certain rings”, J. Number Theory 4 (1972), 383–403.CrossRefGoogle Scholar
[3]Miller, James Curtis, “Diagrams for abelian groups” (D.Ed, thesis, Pennsylvania State University, 1972).Google Scholar