On Characterization of a Finite Group with Non-simple Socle by the Set of Conjugacy Class Sizes | Sciact - Система учета научной деятельности ИМ СО РАН

On Characterization of a Finite Group with Non-simple Socle by the Set of Conjugacy Class Sizes Научная публикация

Журнал

Bulletin of the Iranian Mathematical Society
ISSN: 1018-6301 , E-ISSN: 1017-060X

Вых. Данные

Год: 2023, Том: 49, Номер: 3, Номер статьи : 23, Страниц : 9 DOI: 10.1007/s41980-023-00761-z

Ключевые слова

Finite group; Conjugacy classes

Авторы

Gorshkov I. ^1,2,3

Организации

1	RAS, SB, Sobolev Inst Math, Novosibirsk, Russia
2	Siberian Fed Univ, Krasnoyarsk, Russia
3	Novosibirsk State Tech Univ, Navosibirsk, Russia

Информация о финансировании (1)

Российский научный фонд

18-71-10007

Let G be a finite group and N(G) be the set of its conjugacy class sizes without 1. In the 1980s Thompson conjectured that the equality N(G) = N(S), where Z(G) = 1 and S is simple, implies the isomorphism G ?S. In a series of papers of different authors, Thompson's conjecture was proved. We show that if G is a finite centerless group with the same set of conjugacy class sizes as L-2(q) x L-2(q), where q is odd greater 3 and numbers q - 1, q +1 are not power of 2, then G ? L-2(q) x L-2(q).

Gorshkov I.
On Characterization of a Finite Group with Non-simple Socle by the Set of Conjugacy Class Sizes
Bulletin of the Iranian Mathematical Society. 2023. V.49. N3. 23 :1-9. DOI: 10.1007/s41980-023-00761-z WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	5 апр. 2022 г.
Принята к публикации:	8 февр. 2023 г.
Опубликована в печати:	6 апр. 2023 г.
Опубликована online:	6 апр. 2023 г.

Web of science:	WOS:000964980000001
Scopus:	2-s2.0-85152684690
РИНЦ:	61835159
OpenAlex:	W4362663816

БД	Цитирований
Scopus	1