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 / C. Casolo; U. Dardano. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 7:(2004), pp. 507-520. [10.1515/jgth.2004.7.4.507]
Subnormality in the join of two subgroups
CASOLO, CARLO;
2004
Abstract
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.
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