Groups Satisfying Weak Chain Conditions on Certain Non-Normal Subgroups
In this paper, (generalized) soluble groups for which the set of all subgroups having infinite index in their normal closure satisfies some weak chain condition are described.
Groups satisfying the maximal condition on subnormal non-normal subgroups
The structure of (generalized) soluble groups for which the set of all subnormal non-normal subgroups satisfies the maximal condition is described, taking as a model the known theory of groups in which normality is a transitive relation.
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