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arXiv · 2109.09174

On generating sets of infinite symmetric group

Andrei V. Semenov·Aleksandra Denisova
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Abstract

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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Andrei V. Semenov, Aleksandra Denisova. 2021-09-19. On generating sets of infinite symmetric group. https://arxiv.org/abs/2109.09174

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