We consider groups whose subgroups are all normal-sensitive. We prove that these groups are separated and that their second derived group is a periodic group with all elements odd order. We give criteria for solvability of such groups and we prove that among these groups those which are solvable are exactly the solvable groups in which normality is a transitive relation.
@article{RLINA_1978_8_64_3_265_0,
author = {Brunella Bruno and Maurizio Emaldi},
title = {Sui gruppi nei quali sono normali sensitivi tutti i sottogruppi},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
volume = {64},
year = {1978},
pages = {265-269},
language = {it},
url = {http://dml.mathdoc.fr/item/RLINA_1978_8_64_3_265_0}
}
Bruno, Brunella; Emaldi, Maurizio. Sui gruppi nei quali sono normali sensitivi tutti i sottogruppi. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 64 (1978) pp. 265-269. http://gdmltest.u-ga.fr/item/RLINA_1978_8_64_3_265_0/
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