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.
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     author = {Beidleman, James and Heineken, Hermann},
     title = {Pronormal and subnormal subgroups and permutability},
     journal = {Bollettino della Unione matematica italiana},
     pages = {605--615},
     publisher = {mathdoc},
     volume = {Ser. 8, 6B},
     number = {3},
     year = {2003},
     zbl = {1147.20301},
     mrnumber = {MR2014822},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a7/}
}
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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/