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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 500, Pages 177–187 (Mi znsl7070)  
On generating sets of infinite symmetric group

A. V. Semenova, A. Denisovab

a Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
b ЧоУ ОиДО Лаборатория непрерывного математического образования, наб. Обводного канала, д. 143, 190005, Санкт-Петербург, Россия
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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.
Key words and phrases: infinite symmetric group, generating set, cardinality.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Received: 08.04.2021
Document Type: Article
UDC: 512.5
Language: Russian
Citation: A. V. Semenov, A. Denisova, “On generating sets of infinite symmetric group”, Problems in the theory of representations of algebras and groups. Part 37, Zap. Nauchn. Sem. POMI, 500, POMI, St. Petersburg, 2021, 177–187
Citation in format AMSBIB
\Bibitem{SemDen21}
\by A.~V.~Semenov, A.~Denisova
\paper On generating sets of infinite symmetric group
\inbook Problems in the theory of representations of algebras and groups. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 500
\pages 177--187
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7070}
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