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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