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20-XX Group theory and generalizations
20Dxx Abstract finite groups
20D35 Subnormal subgroups

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Pronormal and subnormal subgroups and permutability

James Beidleman, Hermann Heineken (2003)

Bollettino dell'Unione Matematica Italiana

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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