### Finite groups with few self-normalizing subgroups

We describe finite groups which contain just one conjugate class of self-normalizing subgroups.

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We describe finite groups which contain just one conjugate class of self-normalizing subgroups.

Let G be a finite group, and $M={D}_{p}\left(3\right)$ (p ≥ 3). It is proved that G ≅ M if G and M have the same order components.

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