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Minimal generating set and properties of commutator of Sylow subgroups of alternating and symmetric groups

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dc.contributor.author SKURATOVSKII, Ruslan
dc.date.accessioned 2020-11-05T23:19:08Z
dc.date.available 2020-11-05T23:19:08Z
dc.date.issued 2018
dc.identifier.citation SKURATOVSKII, Ruslan. Minimal generating set and properties of commutator of Sylow subgroups of alternating and symmetric groups. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 103-106. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/11178
dc.description.abstract Given a permutational wreath product sequence of cyclic groups of order 2 we research a commutator width of such groups and some properties of its commutator subgroup. The paper presents a construction of commutator subgroup of Sylow 2-subgroups of symmetric and alternating groups. Also minimal generic sets of Sylow 2-subgroups of A2k were founded. Elements presentation of (Syl2A2k)', (Syl2S2k)' was investigated. We prove that the commutator width of an arbitrary element of a discrete wreath product of cyclic groups Cpi, pi ∈ N is 1. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject Sylow subgroups en_US
dc.subject alternating groups en_US
dc.subject symmetric groups en_US
dc.subject commutators en_US
dc.title Minimal generating set and properties of commutator of Sylow subgroups of alternating and symmetric groups en_US
dc.type Article en_US


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