Abstract
A subgroup H of a finite group G is submodular in G if there is a subgroup chain \(H=H_0\le \ldots \le H_i\le H_{i+1}\le \ldots \le H_n=G\) 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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This work was supported by The Belarusian Republican Foundation for Fundamental Research (Grant number \(\Phi 23\text {PH}\Phi \text {-}237\)).
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Victor S. Monakhov and Irina L. Sokhor. All authors read and approved the final manuscript.
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Monakhov, V.S., Sokhor, I.L. On Finite Groups Factorised by Submodular Subgroups. Results Math 79, 142 (2024). https://doi.org/10.1007/s00025-024-02173-9
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DOI: https://doi.org/10.1007/s00025-024-02173-9