Geodesic
Pronormal and subnormal subgroups and permutability
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 605-615.

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We describe the finite groups satisfying one of the following conditions: all maximal subgroups permute with all subnormal subgroups, (2) all maximal subgroups and all Sylow $p$-subgroups for $p 7$ permute with all subnormal subgroups.
Trattiamo gruppi finiti che soddisfano una delle condizioni seguenti: (1) I sottogruppi massimali permutano con i sottogruppi subnormali, (2) I sottogruppi massimali ed i $p$-sottogruppi di Sylow $(p 7)$ permutano con i sottogruppi subnormali. 
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Beidleman, James; Heineken, Hermann. Pronormal and subnormal subgroups and permutability. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 605-615. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a7/

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