Group in which all subnormal subgroups have a common bound on subnormal depth
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A group in which all subnormal subgroups have a common bound on subnormal depth is a group for which there exists a natural number such that every subnormal subgroup of the group is -subnormal: its subnormal depth is at most .
Relation with other properties
- Finite group
- Nilpotent group
- T-group: A T-group is a group where we can set .
- Group of finite composition length: If the composition length is , the subnormal depth of any subgroup is bounded by . For full proof, refer: Composition length bounds subnormal depth of subnormal subgroups