V. A. Kovaleva, Xiaolan Yi, “Finite groups with all $n$-maximal ($n = 2, 3$) subgroups $K$-$\mathfrak{U}$-subnormal”, PFMT, 2014, no. 2(19), 59

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2014, Issue 2(19), Pages 59–63 (Mi pfmt306)

This article is cited in 1 scientific paper (total 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

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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.

Received: 02.05.2014

Document Type: Article

UDC: 512.542

Language: English

Citation: V. A. Kovaleva, Xiaolan Yi, “Finite groups with all $n$-maximal ($n = 2, 3$) subgroups $K$-$\mathfrak{U}$-subnormal”, PFMT, 2014, no. 2(19), 59–63

Citation in format AMSBIB

\Bibitem{KovYi14}

\by V.~A.~Kovaleva, Xiaolan~Yi

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

\jour PFMT

\yr 2014

\issue 2(19)

\pages 59--63

\mathnet{http://mi.mathnet.ru/pfmt306}

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https://www.mathnet.ru/eng/pfmt/y2014/i2/p59

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