Geodesic
Groups with Normality Conditions for Non-Periodic Subgroups
Bollettino della Unione matematica italiana, Série 9, Tome 4 (2011) no. 1, pp. 109-121.

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The structure of (non-periodic) groups in which all non-periodic subgroups have a prescribed property is investigated. Among other choices, we consider properties generalizing normality, like subnormality, permutability and pronormality. Moreover, non-periodic groups whose proper non-periodic subgroups belong to a given group class are studied. 
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     title = {Groups with {Normality} {Conditions} for {Non-Periodic} {Subgroups}},
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De Falco, Maria; de Giovanni, Francesco; Musella, Carmela. Groups with Normality Conditions for Non-Periodic Subgroups. Bollettino della Unione matematica italiana, Série 9, Tome 4 (2011) no. 1, pp. 109-121. http://geodesic.mathdoc.fr/item/BUMI_2011_9_4_1_a5/

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