Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-08T05:08:32.041Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
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.

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