Groups in which every non-nilpotent subgroup is self-normalizing

Authors

  • Costantino Delizia University of Salerno, Italy
  • Urban Jezernik University of Ljubljana, Slovenia
  • Primož Moravec University of Ljubljana, Slovenia
  • Chiara Nicotera University of Salerno, Italy

DOI:

https://doi.org/10.26493/1855-3974.1439.fdf

Keywords:

Normalizer, non-nilpotent subgroup, self-normalizing subgroup

Abstract

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.

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Published

2017-11-02

Issue

Vol. 15 No. 1 (2018)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/