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arxiv: 2109.09174 · v1 · pith:CXNFBPCA · submitted 2021-09-19 · math.GR · math.CO

On generating sets of infinite symmetric group

Andrei V. Semenov , Aleksandra Denisova This is my paper

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classification math.GR math.CO
keywords generatinggroupinfinitesetssomebesidesbijectionscardinality
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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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