Geodesic
The semigroup of doubly-stochastic matrices
Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 178-183

Voir la notice de l'article provenant de la source Cambridge University Press

The set Dn of all n × n doubly-stochastic matrices is a semigroup with respect to ordinary matrix multiplication. This note is concerned with the determination of the maximal subgroups of Dn. It is shown that the number of subgroups is finite, that each subgroup is finite and is in fact isomorphic to a direct product of symmetric groups. These results are applied in § 3 to yield information about the least number of permutation matrices whose convex hull contains a given doubly-stochastic matrix. 
Farahat, H. K. The semigroup of doubly-stochastic matrices. Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 178-183. doi: 10.1017/S2040618500035401
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