Structure of solvable nonnilpotent metahamiltonian groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1983 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 34, pages 572-577 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Kuzennyj, N. F.; Semko, N. N.;

doi: 10.1007/bf01141770

Structure of solvable nonnilpotent metahamiltonian groups

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Abstract

A group is called metahamiltonian if any nonabelian subgroup of it is invariant. A complete description of the structure of solvable nonnilpotent metahamiltonian groups is given. This improves results of \textit{V. T. Nagrebetskij} [Mat. Zap. 6, No.1, 80-88 (1967; Zbl 0315.20022)].

Keywords

solvable nonnilpotent metahamiltonian groups, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups

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