A theorem of Hurwitz and Radon and orthogonal projective modules

Author:

Geramita A. V.,Pullman N. J.

Abstract

We find the maximum number of orthogonal skew-symmetric anticommuting integer matrices of order n for each natural number n and relate this to finding free direct summands of certain generic projective modules.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

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3. M. R. Gabel, Stably free projectives over commutative rings, Brandeis University, Waltham, Mass., Thesis, February 1972.

4. Über die Komposition der quadratischen Formen;Hurwitz, A.;Math. Ann.,1922

5. Cross-sections of Stiefel manifolds;James, I. M.;Proc. London Math. Soc. (3),1958

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