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Finite groups with few normalizers or involutions

Finite groups with few normalizers or involutions

The groups having exactly one normalizer are Dedekind groups. All finite groups with exactly two normalizers were classified by Pérez-Ramos in 1988. In this paper we prove that every finite group with at most 26 normalizers of $$\{2,3,5\}$$ -subgroups is soluble and we also show that every finite group with …