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We investigate properties of a few series associated to subnormal subgroups of finite groups. For a subnormal subgroup of a finite group we show that there are subnormal series for which the normalizers of each subgroup in the series form a chain. This allows us to formulate a bound on the subnormal depth of a subgroup using the index of its normalizers in the original group.

Chains of Normalizers of Subnormal Subgroups