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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 950–954
DOI: https://doi.org/10.17377/semi.2016.13.076 (Mi semr726) 		 
Mathematical logic, algebra and number theory

On subgroups of finite groups with a cover and avoidance property

A. Ballester-Bolinchesa, S. F. Kamornikovb, O. L. Shemetkovac, X. Yid

a Departament d'Àlgebra, Universitat de València, 46100, Burjassot, València, Spain
b Gomel Branch of International University "MITSO", 246029, Gomel, Belarus
c Russian Economic University named after G. V. Plekhanov, 117997, Moscow, Russia
d Department of Mathematics, Zhejiang Sci-Tech University, 310018, Hangzhou, People's Republic of China
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DOI: https://doi.org/10.17377/semi.2016.13.076
Abstract: Subgroups of finite groups which cover the Frattini chief factors and avoid the supplemented ones are studied in the paper. Some relations with the profrattini and prefrattini subgroups are also exhibited.
Keywords: finite group, prefrattini subgroups, profrattini subgroups, cover and avoidance properties.
Funding agency Grant number
Ministry of Science and Innovation of Spanish MTM2014-54707-C3-1-P
National Natural Science Foundation of China 11271085
11471055
National Science Foundation 2015A030313791
The first author has been supported by the grant MTM2014-54707-C3-1-P from the Ministerio de Economía y Competitividad (Spanish Government) and FEDER (European Union), the grant № 11271085 from the National Natural Science Foundation of China and a project of Natural Science Foundation of Guangdong Province (№ 2015A030313791). The fourth author has been supported by the grant № 11471055 from the National Natural Science Foundation of China.
Received January 4, 2016, published November 7, 2016
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20D10,20D20
Language: English
Citation: A. Ballester-Bolinches, S. F. Kamornikov, O. L. Shemetkova, X. Yi, “On subgroups of finite groups with a cover and avoidance property”, Sib. Èlektron. Mat. Izv., 13 (2016), 950–954
Citation in format AMSBIB
\Bibitem{BalKamShe16}
\by A.~Ballester-Bolinches, S.~F.~Kamornikov, O.~L.~Shemetkova, X.~Yi
\paper On subgroups of finite groups with a cover and avoidance property
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 950--954
\mathnet{http://mi.mathnet.ru/semr726}
\crossref{https://doi.org/10.17377/semi.2016.13.076}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407781100076}
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