Abstract.
This article investigates the structure of groups in which every subgroup either is subnormal or has a transitive normality relation, with special attention to the case in which subnormal subgroups have bounded defect.
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de Giovanni, F., Russo, A. & Vincenzi, G. Groups whose non-subnormal subgroups have a transitive normality relation. Bull Braz Math Soc 34, 219–229 (2003). https://doi.org/10.1007/s00574-003-0009-0
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DOI: https://doi.org/10.1007/s00574-003-0009-0