Geodesic
Groups in which every non-nilpotent subgroup is self-normalizing
Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 39-51.

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We study the class of groups having the property that every non-nilpotent subgroup is equal to its normalizer. These groups are either soluble or perfect. We describe soluble groups and finite perfect groups with the above property. Furthermore, we give some structural information in the infinite perfect case.
DOI : 10.26493/1855-3974.1439.fdf
Keywords: Normalizer, non-nilpotent subgroup, self-normalizing subgroup 
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Costantino Delizia; Urban Jezernik; Primož Moravec; Chiara Nicotera. Groups in which every non-nilpotent subgroup is self-normalizing. Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 39-51. doi : 10.26493/1855-3974.1439.fdf. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1439.fdf/

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