On finite groups factorised by submodular subgroups

Victor S. Monakhov; Irina L. Sokhor

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arXiv · 2307.15497

On finite groups factorised by submodular subgroups

Victor S. Monakhov·Irina L. Sokhor

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Abstract

A subgroup $H$ of a finite group $G$ is submodular in $G$ if there is a subgroup chain $H=H_0\leq\ldots\leq H_i\leq H_{i+1}\leq \ldots \leq H_n=G$ such that $H_i$ is a modular subgroup of $H_{i+1}$ for every $i$. We investigate finite factorised groups with submodular primary (cyclic primary) subgroups in factors. We indicate a general approach to the description of finite groups factorised by supersolvable submodular subgroups.

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Victor S. Monakhov, Irina L. Sokhor. 2023-07-28. On finite groups factorised by submodular subgroups. https://arxiv.org/abs/2307.15497

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