Finite groups and $k$-submodular subgroups

T. I. Vasilyeva

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arXiv · 2406.04704

Finite groups and $k$-submodular subgroups

T. I. Vasilyeva

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Abstract

For natural numbers $n$ and $k$, the concepts of $n$-modularly embedded subgroup, $k$-submodular subgroup and $k$-$\mathrm{LM}$-group are given, which generalize, respectively, the concepts of modular subgroup, submodular subgroup and $\mathrm{LM}$-group. Classes of groups with given systems of $k$-submodular subgroups are investigated.

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BibTeX RIS

T. I. Vasilyeva. 2024-06-07. Finite groups and $k$-submodular subgroups. https://arxiv.org/abs/2406.04704

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