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Finite Soluble Groups Need Not Admit Increasing Unrefinable Subgroup Chains
In correspondence beginning on August 8, 2026, V. S. Monakhov and I. L. Sokhor communicated the following question to the author: does every finite group have an unrefinable chain of subgroups whose successive indices are nondecreasing? We answer this question in the negative, even among soluble gro
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