Finite groups with ψ'(G) > 19/43 have modular subgroup lattices; all groups with ψ'(G) > 31/77 are classified, completing the supersolubility criterion.
Sums of element orders in finite groups
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Finite groups with a large normalized sum of element orders
Finite groups with ψ'(G) > 19/43 have modular subgroup lattices; all groups with ψ'(G) > 31/77 are classified, completing the supersolubility criterion.