Metabelian implies subnormal join property
This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., metabelian group) must also satisfy the second group property (i.e., group satisfying subnormal join property)
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- Metabelian implies nilpotent commutator subgroup
- Nilpotent commutator subgroup implies subnormal join property
The proof follows directly by combining facts (1) and (2).