Geodesic
On generating sets of infinite symmetric group
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 177-187 
A. V. Semenov; A. Denisova. On generating sets of infinite symmetric group. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 177-187. http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a8/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criterion for generating by sets of this kind.

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