Detecting products of elementary matrices in

Author:
Randy Tuler

Journal:
Proc. Amer. Math. Soc. **89** (1983), 45-48

MSC:
Primary 10C30; Secondary 10C02, 10M20, 15A23, 20H25

DOI:
https://doi.org/10.1090/S0002-9939-1983-0706508-3

MathSciNet review:
706508

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Abstract: An elementary matrix over a ring has 1 in each diagonal position and at most one additional nonzero element. Let where is an integer less than . We give an algorithm for determining whether or not a invertible matrix over is generated by elementary matrices. This is connected with the theory of integral binary quadratic forms.

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DOI:
https://doi.org/10.1090/S0002-9939-1983-0706508-3

Article copyright:
© Copyright 1983
American Mathematical Society