Group in which all subnormal subgroups have a common bound on subnormal depth

Definition
A group in which all subnormal subgroups have a common bound on subnormal depth is a group for which there exists a natural number $$k$$ such that every defining ingredient::subnormal subgroup of the group is $$k$$-subnormal: its defining ingredient::subnormal depth is at most $$k$$.

Stronger properties

 * Weaker than::Finite group
 * Weaker than::Nilpotent group
 * Weaker than::T-group: A T-group is a group where we can set $$k = 1$$.
 * Weaker than::Group of finite composition length: If the composition length is $$l$$, the subnormal depth of any subgroup is bounded by $$l - 1$$.

Incomparable properties

 * Group in which every subgroup is subnormal