N. N. Semko, T. V. Velychko, “On groups whose subgroups of infinite special rank are transitively normal”, Algebra Discrete Math., 2017, том 24, выпуск 1,страницы 34

Эта публикация цитируется в 2 статьях

RESEARCH ARTICLE

On groups whose subgroups of infinite special rank are transitively normal

N. N. Semko^a, T. V. Velychko^b

^a Department of Mathematics, University of State Fiscal Service of Ukraine, Universytetska street 31, Irpin, Kyiv region, Ukraine
^b Department of Geometry and Algebra, Oles Honchar Dnipro National University, Gagarin prospect, 72, Dnipro, 49010, Ukraine

Аннотация: This paper sheds a light on periodic soluble groups whose subgroups of infinite special rank are transitively normal.

Ключевые слова: finite special rank, soluble group, periodic group, locally nilpotent radical, locally nilpotent residual, transitively normal subgroups.

MSC: Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50

Поступила в редакцию: 02.05.2017

Язык публикации: английский