2014•Asian-European Journal of MathematicsRequires access

On some groups with only two types of subgroups

Leonid Andreevich KURDACHENKO, Igor Ya. Subbotin, T. I. Velichko

Open publisher page 5 citations

Abstract

In this paper, we study the groups whose subgroups are either almost normal or contranormal. The main theorem of the paper describes locally soluble groups with this property. We also provide a description of locally soluble group, whose subgroups are almost normal or abnormal.

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What this paper is about

In this paper, we study the groups whose subgroups are either almost normal or contranormal. The main theorem of the paper describes locally soluble groups with this property. We also provide a description of locally soluble group, whose subgroups are almost normal or abnormal.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we study the groups whose subgroups are either almost normal or contranormal. The main theorem of the paper describes locally soluble groups with this property. We also provide a description of locally soluble group, whose subgroups are almost normal or abnormal.

Key concepts: Property (philosophy), Group (periodic table), Mathematics, Normal subgroup, Normal group, Pure mathematics, Medicine, Combinatorics

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