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arXiv:2109.09174 [math.GR]AbstractReferencesReviewsResources

On generating sets of infinite symmetric group

Andrei V. Semenov, Aleksandra Denisova

Published 2021-09-19Version 1

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.

Comments: 7 pages
Journal: Zap. Nauch. Seminarov POMI, 500, pages 177-188, 2021
Categories: math.GR, math.CO
Subjects: 20B07, 20F99
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