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math.GR2023
On finite groups factorised by submodular subgroups
Victor S. Monakhov, Irina L. Sokhor
A subgroup of a finite group is submodular in if there is a subgroup chain such that is a modular subg…
math.GR2023
On -subnormality and submodularity in a finite group
Victor S. Monakhov, Irina L. Sokhor
Let be a formation and let be a group. A subgroup of is -subnormal (submodular) in if there is a subgroup chain $H=H_0\le \ H_1…
math.GR2023
On groups with modular Schmidt subgroups
Victor S. Monakhov, Irina L. Sokhor
We prove that if every Schmidt subgroup of a group is subnormal or modular, then is cyclic