On the Existence of G -Permutable Subgroups in Simple Sporadic Groups Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2022, Volume: 63, Number: 4, Pages: 691-698 Pages count : 8 DOI: 10.1134/S0037446622040097 | ||||
| Tags | 512.542; G-permutable subgroup; hereditarily G-permutable subgroup; simple sporadic group | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
A subgroup A of a group G is G-permutable in G if forevery subgroup $ B\leq G $ there is $ x\in G $ satisfying$ AB^{x}=B^{x}A $. A subgroup A is hereditarily G-permutable in Gif A is $ E $-permutable in every subgroup $ E $ of G which includes A.The Kourovka Notebook contains Problem 17.112:Which finite nonabelian simple groups G possess a proper(hereditarily) G-permutable subgroup? We answer the question for simple sporadic groups.
Cite:
Galt A.A.
, Tyutyanov V.N.
On the Existence of G -Permutable Subgroups in Simple Sporadic Groups
Siberian Mathematical Journal. 2022. V.63. N4. P.691-698. DOI: 10.1134/S0037446622040097 WOS Scopus РИНЦ OpenAlex
On the Existence of G -Permutable Subgroups in Simple Sporadic Groups
Siberian Mathematical Journal. 2022. V.63. N4. P.691-698. DOI: 10.1134/S0037446622040097 WOS Scopus РИНЦ OpenAlex
Original:
Гальт А.А.
, Тютянов В.Н.
О существовании G-перестановочных подгрупп в простых спорадических группах
Сибирский математический журнал. 2022. Т.63. №4. С.831–841. DOI: 10.33048/smzh.2022.63.409 РИНЦ
О существовании G-перестановочных подгрупп в простых спорадических группах
Сибирский математический журнал. 2022. Т.63. №4. С.831–841. DOI: 10.33048/smzh.2022.63.409 РИНЦ
Dates:
| Submitted: | Nov 11, 2021 |
| Accepted: | Apr 15, 2022 |
| Published online: | Jul 27, 2022 |
Identifiers:
| Web of science: | WOS:000831328200009 |
| Scopus: | 2-s2.0-85135108071 |
| Elibrary: | 53428224 |
| OpenAlex: | W4288061073 |