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 $\langle H,H^g\rangle$. Extending the well-known class of metahamiltonian groups, we study soluble groups in which every subgroup is abelian or pronormal.
Groups whose Subgroups are either Abelian or Pronormal / Brescia, M.; Trombetti, M.; Ferrara, M.. - In: KYOTO JOURNAL OF MATHEMATICS. - ISSN 2156-2261. - 63:3(2023), pp. 471-500. [10.1215/21562261-10607307]
Groups whose Subgroups are either Abelian or Pronormal
Brescia, M.
;Trombetti, M.;
2023
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 $\langle H,H^g\rangle$. Extending the well-known class of metahamiltonian groups, we study soluble groups in which every subgroup is abelian or pronormal.File in questo prodotto:
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