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). The aim of this paper is to classify those (locally) finite simple groups which have only nilpotent or pronormal subgroups.
LOCALLY FINITE SIMPLE GROUPS WHOSE NONNILPOTENT SUBGROUPS ARE PRONORMAL
FERRARA, M.;
2023-01-01
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). The aim of this paper is to classify those (locally) finite simple groups which have only nilpotent or pronormal subgroups.File in questo prodotto:
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