Some special coprime actions and their consequences

Some special coprime actions and their consequences Full article

Journal

Journal of Pure and Applied Algebra
ISSN: 0022-4049

Output data

Year: 2024, Volume: 228, Number: 12, Article number : 107764, Pages count : 12 DOI: 10.1016/j.jpaa.2024.107764

Tags

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

Authors

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

Affiliations

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

Funding (1)

Sobolev Institute of Mathematics

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

Submitted:	Nov 11, 2021
Published online:	Jul 3, 2024
Published print:	Jul 13, 2024

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

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