A subgroup H of a group G is said to be pronormal in G if each of its conjugates Hg in G is already conjugate to it in the subgroup (H, Hg). Extending the wellknown class of metahamiltonian groups, we study soluble groups in which every subgroup is abelian or pronormal.
Groups whose subgroups are either abelian or pronormal
Ferrara, Maria;
2023-01-01
Abstract
A subgroup H of a group G is said to be pronormal in G if each of its conjugates Hg in G is already conjugate to it in the subgroup (H, Hg). Extending the wellknown class of metahamiltonian groups, we study soluble groups in which every subgroup is abelian or pronormal.File in questo prodotto:
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