An elementary proof of a fundamental result on doubly stochastic matrices in Frobenius normal form is given. This result is used to establish several well-known results concerning permutations, including a theorem due to Ruffini.
 R. A. Brualdi and H. J. Ryser. Combinatorial matrix theory, volume 39 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 1991.Search in Google Scholar
 B. Liu and H.-J. Lai. Matrices in combinatorics and graph theory, volume 3 of Network Theory and Applications. Kluwer Academic Publishers, Dordrecht, 2000. With a foreword by Richard A. Brualdi.10.1007/978-1-4757-3165-1Search in Google Scholar
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