Finite groups with some ?-quasinormal minimal subgroups

Yangming Li; Yanming Wang

doi:10.1023/b:amhu.0000023217.36582.b1

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Acta Mathematica Hungarica

Volume/Issue:: Volume 102: Issue 3

Finite groups with some ?-quasinormal minimal subgroups

Authors:

Yangming Li

Yangming Li Guangdong College of Education Deptartment of Mathematics Guangzhou 510303 P. R. China Guangzhou 510303 P. R. China

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Yanming Wang

Yanming Wang Zhongshan University Lingnan College and School of Mathematics Guangzhou 510275 P. R. China Guangzhou 510275 P. R. China

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Pages:: 213–222

Online Publication Date:: 02 Nov 2004

Publication Date:: 03 Feb 2004

Article Category:: Research Article

DOI:: https://doi.org/10.1023/b:amhu.0000023217.36582.b1

Keywords:: nilpotent group; ?-nilpotent group; saturated formation; ?-quasinormal subgroup

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Abstract

We use ?-quasinormal condition on minimal subgroups to Characterize the structure of a finite group through the theory of formation. We give some equivalent conditions of a nilpotent group or a saturated formation containing the nilpotent groups. Our results generalize earlier theorems of Yokoyama, Ballester-Bolinches and Pedraza Aguilera.

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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)