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Some special coprime actions and their consequences Научная публикация

Журнал

Journal of Pure and Applied Algebra
ISSN: 0022-4049

Вых. Данные

Год: 2024, Том: 228, Номер: 12, Номер статьи : 107764, Страниц : 12 DOI: 10.1016/j.jpaa.2024.107764

Ключевые слова

Coprime action, p-length, Fitting series, Frobenius action, Simple group

Авторы

Ercan Gülı̇n ¹ , Güloğlu İsmaı̇l Ş. ² , Yası̇r Kizmaz M. ³ , Revin Danila O. ⁴

Организации

1	Department of Mathematics, Middle East Technical University, Ankara, Turkey
2	Department of Mathematics, Doğuş University, Istanbul, Turkey
3	Department of Mathematics, Bilkent University, Ankara, Turkey
4	Sobolev Institute of Mathematics SB RAS, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0002

Let a group A act on the group G coprimely. Suppose that the order of the fixed point subgroup CG(A) is not divisible by an arbitrary but fixed prime p. In the present paper we determine bounds for the p-length of the group G in terms of the order of A, and investigate how some A-invariant p-subgroups are embedded in G under various additional assumptions.

Ercan G. , Güloğlu İ.Ş. , Yası̇r Kizmaz M. , Revin D.O.
Some special coprime actions and their consequences
Journal of Pure and Applied Algebra. 2024. V.228. N12. 107764 :1-12. DOI: 10.1016/j.jpaa.2024.107764 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	11 нояб. 2021 г.
Опубликована online:	3 июл. 2024 г.
Опубликована в печати:	13 июл. 2024 г.

Web of science:	WOS:001267923500001
Scopus:	2-s2.0-85198141932
РИНЦ:	69106490
OpenAlex:	W4400269669

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