New Examples of Nonpronormal Subgroups of Odd Index in Finite Simple Linear and Unitary Groups | Sciact - Система учета научной деятельности ИМ СО РАН

New Examples of Nonpronormal Subgroups of Odd Index in Finite Simple Linear and Unitary Groups Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2025, Том: 66, Номер: 4, Страницы: 928–934 Страниц : 7 DOI: 10.1134/S0037446625040056

Ключевые слова

finite group, simple group, linear simple group, unitary simple group, pronormal subgroup, odd index

Авторы

Guo J. ¹ , Guo W. ^2,3 , Maslova N.V. ^4,5 , Revin D.O. ⁶

Организации

1	School of Mathematics and Statistics, Hainan University
2	School of Mathematics and Statistics, Nantong University
3	Department of Mathematics, University of Science and Technology of China
4	Krasovskii Institute of Mathematics and Mechanics
5	Ural Federal University
6	Sobolev Institute of Mathematics

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0002

A subgroup H of a group G is said to be pronormal if, for every element g ∈ G, the subgroups H and Hg are conjugate in the subgroup H, Hg . It is known that a substantial portion of finite simple groups possesses property (∗): every subgroup of odd index is pronormal in the group. To date, finite simple groups with property (∗) have been classified, except for finite simple linear and unitary groups subject to certain restrictions on their natural arithmetic parameters. In 2024, a classification was initiated for finite simple linear and unitary groups in which all subgroups of odd index are pronormal. The plan is to identify all possible sources of nonpronormal subgroups of odd index and then prove that there are no other such examples. In 2024, series of examples of nonpronormal subgroups of odd index were found in finite simple linear and unitary groups over fields of odd characteristic. In the present paper, we construct a new series of examples of nonpronormal subgroups of odd index in finite simple linear and unitary groups over a field of odd characteristic.

Guo J. , Guo W. , Maslova N.V. , Revin D.O.
New Examples of Nonpronormal Subgroups of Odd Index in Finite Simple Linear and Unitary Groups
Siberian Mathematical Journal. 2025. V.66. N4. P.928–934. DOI: 10.1134/S0037446625040056 Scopus РИНЦ OpenAlex

Го Ц. , Го В. , Маслова В. , Ревин Д.О.
Новые примеры непронормальных подгрупп нечетных индексов в конечных простых линейных и унитарных группах
Сибирский математический журнал. 2025. Т.66. №4. С.613-620. DOI: 10.33048/smzh.2025.66.405 РИНЦ

Поступила в редакцию:	27 дек. 2024 г.
Принята к публикации:	25 апр. 2025 г.
Опубликована в печати:	23 июл. 2025 г.
Опубликована online:	23 июл. 2025 г.

Scopus:	2-s2.0-105011294291
РИНЦ:	82650976
OpenAlex:	W4412609974

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