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We address the question of the subnormality of a subgroup  H  in a group  G  when  H  is subnormal in two subgroups  U  and  V  such that  G  = 〈 U, V 〉. In particular, we consider the case in which  G  is nilpotent-by-abelian and the case in which  G  =  UV  is factorized by  U  and  V .

Subnormality in the join of two subgroups