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An Estimate for the order of Rational Matrices

Published online by Cambridge University Press:  20 November 2018

Randee Putz
Randee Putz*
Affiliation:
Temple University
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In this note we prove what we believe to be a new result concerning matrices, namely, that if an n × n matrix with rational entries has a finite order then this order is bounded. We also give an estimate for this bound and an application.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 3 , August 1967 , pp. 459 - 461
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Hall, Marshall Jr., The Theory of Groups, Macmillan, 1959.Google Scholar
2. Barkley Rosser, J. and Schoenfeld, Lowell, Approximate Formulas for some Functions of Prime Numbers. Illinois Journal of Mathematics, Vol. 6, No. 1, March, 1962, 64-94.Google Scholar
3. Schreier, O. and Sperner, E., Modern Algebra and Matrix Theory. Chelsea, 1955.Google Scholar
4. van der Waerden, B. L., Modern Algebra, Vol. 1, Ungar, 1953.Google Scholar