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Deaconescu's solubility conjecture for finite groups with many elements of the same order
Let $k$ be a fixed positive integer and let $G$ be a finite group. Suppose that at least half of the elements of $G$ have order $k$ . Deaconescu's conjecture. Then $G$ is soluble. T…
Conjectureopenelement-orders finite-groups group-solubilityarXiv posted 2 days ago

Deaconescu's solubility conjecture for finite groups with many elements of the same order