Groups whose subgroups are either abelian or pronormal

Mattia Brescia; Maria Ferrara; Marco Trombetti

doi:10.1215/21562261-10607307

August 2023 Groups whose subgroups are either abelian or pronormal

Mattia Brescia, Maria Ferrara, Marco Trombetti

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Abstract

A subgroup H of a group G is said to be pronormal in G if each of its conjugates $H^{g}$ in G is already conjugate to it in the subgroup $⟨ H, H^{g} ⟩$ . Extending the well-known class of metahamiltonian groups, we study soluble groups in which every subgroup is abelian or pronormal.

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Mattia Brescia, Maria Ferrara, and Marco Trombetti "Groups whose subgroups are either abelian or pronormal," Kyoto Journal of Mathematics 63(3), 471-500, (August 2023). https://doi.org/10.1215/21562261-10607307

Received: 9 December 2020; Accepted: 11 August 2021; Published: August 2023

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