A. Ballester-Bolinches, S. F. Kamornikov, O. L. Shemetkova, X. Yi, “On subgroups of finite groups with a cover and avoidance property”, Сиб. электрон. матем. изв., 2016, том 13,страницы 950

Математическая логика, алгебра и теория чисел

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

Аннотация: 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.

Ключевые слова: finite group, prefrattini subgroups, profrattini subgroups, cover and avoidance properties.

УДК: 512.542

MSC: 20D10,20D20

Поступила 4 января 2016 г., опубликована 7 ноября 2016 г.

Язык публикации: английский

DOI: 10.17377/semi.2016.13.076