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Idempotents of the semigroup of infinite stochastic matrices. (Russian. English summary) Zbl 0617.15015
It is shown that, for each idempotent infinite stochastic matrix, a group having such a matrix as unit element is isomorphic to a substitution group. Similar results for doubly stochastic matrices are also given.
Reviewer: M.Voicu
MSC:
15B51 Stochastic matrices
20H20 Other matrix groups over fields
20M20 Semigroups of transformations, relations, partitions, etc.
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