On Injectors of a Hartley Set of a Finite Group-Reference-Cited by-同舟云学术

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On Injectors of a Hartley Set of a Finite Group

Published:2018-12 Issue:04 Volume:25 Page:671-680
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Yang Nanying¹,Vorob’ev N.T.²,Vasilevich T.B.²

Affiliation:

1. School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China

2. Department of Mathematics, Masherov Vitebsk State University, Vitebsk 210038, Belarus

Abstract

Let G be a finite group and [Formula: see text] be a Hartley set of G. In this paper, we prove the existence and conjugacy of [Formula: see text]-injectors of G and describe the characterization of injectors via radicals. As applications, some known results are directly followed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386718000470

Reference10 articles.

1. Injectors in finite solvable groups

2. Injektoren endlicher aufl�sbarer Gruppen

3. On Injectors Of Finite Soluble Groups

4. A characterization of dominant local Fitting classes

5. ?-constraint with respect to a Fitting class

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