Abstract
The study of the primitive solutions of the equationwhere A = (aij) is an n × n matrix whose elements are rational integers, was begun a long time ago. In most cases this equation occurred incidentally in another theory; for instance Jordan encountered it in connection with linear differential equations having algebraic solutions, Minkowski in connection with quadratic forms and Turnbull in geometry. An important fact about these matrices is that any unimodular matrix can be represented as the product of matrices with finite period.
Publisher
Cambridge University Press (CUP)
Cited by
5 articles.
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1. Finite Groups of Matrices Whose Entries Are Integers;The American Mathematical Monthly;2002-02
2. Elements of finite order in symplectic groups;Archiv der Mathematik;1982-12
3. Remarks on the history and applications of integral representations;Integral Representations and Applications;1981
4. A survey of integral representation theory;Bulletin of the American Mathematical Society;1970
5. Matrices of rational integers;Bulletin of the American Mathematical Society;1960