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.
@article{BUMI_2011_9_4_1_a5,
     author = {De Falco, Maria and de Giovanni, Francesco and Musella, Carmela},
     title = {Groups with {Normality} {Conditions} for {Non-Periodic} {Subgroups}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {109--121},
     publisher = {mathdoc},
     volume = {Ser. 9, 4},
     number = {1},
     year = {2011},
     zbl = {1238.20043},
     mrnumber = {2797468},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2011_9_4_1_a5/}
}
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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/