The comments to the article by Elmar Thoma: “Die unzerlegbaren, positiv-definiten Klassenfunktionen der abz ählbar unendlichen, symmetrischen Gruppe”

We comment here the classical article by Elmar Thoma abour caracters of the infinite symmetric group; consider the proof of the main result , which compare with the following papers of different authors who suggested various approves to the theory of the characters and representations of that group as well as related groups.