Matrices with finite period

Author:

Taussky Olga,Todd John

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)

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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

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