Chimere S. Anabanti, Alexander Moretó, Mohammad Zarrin
Abstract
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Let G be a finite group. We prove that if the number of Sylow 3 -subgroups of G is at most 7 and the number of Sylow 5 -subgroups of G is at most 1455 , then G is solvable. This is a strong form of a recent conjecture of Robati.
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Let G be a finite group. We prove that if the number of Sylow 3 -subgroups of G is at most 7 and the number of Sylow 5 -subgroups of G is at most 1455 , then G is solvable. This is a strong form of a recent conjecture of Robati.
Key concepts: Sylow theorems, Mathematics, Locally finite group, Conjecture, Combinatorics, Pure mathematics, Finite group, Group (periodic table)