Finite groups and k-submodular subgroups

2024/06/07 by T. I. Vasilyeva, Vasilyeva, T. I.
Computer Science · Mathematics · #2010 20D10 #20E15 #20F16 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2406.04704

openalex publication_date 2024/06/07 · openalex created_date 2024/06/11 · openalex updated_date 2026/07/28

Abstract

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

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