Geodesic
An Estimate for the order of Rational Matrices
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 459-461

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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. 
Putz, Randee. An Estimate for the order of Rational Matrices. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 459-461. doi: 10.4153/CMB-1967-044-x
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     author = {Putz, Randee},
     title = {An {Estimate} for the order of {Rational} {Matrices}},
     journal = {Canadian mathematical bulletin},
     pages = {459--461},
     year = {1967},
     volume = {10},
     number = {3},
     doi = {10.4153/CMB-1967-044-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-044-x/}
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