V. A. Kovaleva, Xiaolan Yi, “Finite groups with all $n$-maximal ($n = 2, 3$) subgroups $K$-$\mathfrak{U}$-subnormal”, PFMT, 2014, Issue 2(19),Pages 59

This article is cited in 1 paper

MATHEMATICS

Finite groups with all $n$-maximal ($n = 2, 3$) subgroups $K$-$\mathfrak{U}$-subnormal

V. A. Kovaleva^a, Xiaolan Yi^b

^a F. Scorina Gomel State University, Gomel
^b Zhejiang Sci-Tech University, Hangzhou, China

Abstract: A full classification of finite groups with all $n$-maximal ($n = 2, 3$) subgroups $K$-$\mathfrak{U}$-subnormal is given.

Keywords: $n$-maximal subgroup, $K$-$\mathfrak{U}$-subnormal subgroup, $\mathfrak{U}$-subnormal subgroup, supersoluble group, minimal nonsupersoluble group, $SDH$-group.

UDC: 512.542

Received: 02.05.2014

Language: English