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On Elementary Abelian Cartesian Groups

Published online by Cambridge University Press:  20 November 2018

Anthony B. Evans
Anthony B. Evans*
Affiliation:
Department of Mathematics and Statistics Wright State University Dayton, Ohio 45435 U. S. A.
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Abstract

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J. Hayden [2] proved that, if a finite abelian group is a Cartesian group satisfying a certain "homogeneity condition", then it must be an elementary abelian group. His proof required the character theory of finite abelian groups. In this note we present a shorter, elementary proof of his result.

Keywords

51E1505B25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 58 - 59
Copyright
Copyright © Canadian Mathematical Society 1991

References

1. Dembowski, P., Finite geometries. Springer-Verlag, New York, 1968.Google Scholar
2. Hayden, J., Elementary abelian cartesian groups, Can. J. Math. XL(6)(1988), 1315–1321.Google Scholar