On the Product of Subsets in Periodic Groups

It is proved that for any finite symmetrized subset of the free Burnside group the inequality takes place, where is the least odd divisor of the number satisfying the inequality .

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Veröffentlicht in:Journal of contemporary mathematical analysis 2022-12, Vol.57 (6), p.395-398
Hauptverfasser: Atabekyan, V. S., Mikaelyan, V. G.
Format: Artikel
Sprache:eng
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Zusammenfassung:It is proved that for any finite symmetrized subset of the free Burnside group the inequality takes place, where is the least odd divisor of the number satisfying the inequality .
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362322060036