On finite groups isospectral to groups with abelian Sylow 2-subgroups | Sciact - Система учета научной деятельности ИМ СО РАН

On finite groups isospectral to groups with abelian Sylow 2-subgroups Научная публикация

Журнал

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Вых. Данные

Год: 2025, Том: 22, Номер: 1, Страницы: 169-178 Страниц : 10 DOI: 10.33048/semi.2025.22.013

Ключевые слова

simple group, recognition by spectrum, small Ree group, sporadic Janko group.

Авторы

Grechkoseeva M.A. ¹ , Vasil'ev A.V. ¹

Организации

1	Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0002

The spectrum of a nite group is the set of orders of its elements. We are concerned with nite groups having the same spectrum as a direct product of nonabelian simple groups with abelian Sylow 2-subgroups. For every positive integer k, we nd k nonabelian simple groups with abelian Sylow 2-subgroups such that their direct product is uniquely determined by its spectrum in the class of all nite groups. On the other hand, we prove that there are in nitely many nite groups having the same spectrum as the direct cube of the small Ree group 2G2(q), q > 3, or the direct fourth power of the sporadic group J1.

Grechkoseeva M.A. , Vasil'ev A.V.
On finite groups isospectral to groups with abelian Sylow 2-subgroups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025. V.22. N1. P.169-178. DOI: 10.33048/semi.2025.22.013 WOS Scopus

Поступила в редакцию:	25 сент. 2024 г.
Опубликована в печати:	19 мар. 2025 г.
Опубликована online:	19 мар. 2025 г.

Web of science:	WOS:001473623500011
Scopus:	2-s2.0-105001366317

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