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., 2016, Volume 13,Pages <nobr>950

Mathematical logic, algebra and number theory

On subgroups of finite groups with a cover and avoidance property

A. Ballester-Bolinches^a, S. F. Kamornikov^b, O. L. Shemetkova^c, X. Yi^d

^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

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.

UDC: 512.542

MSC: 20D10,20D20

Received January 4, 2016, published November 7, 2016

Language: English

DOI: 10.17377/semi.2016.13.076