Abelianness is subgroup-closed
This article gives the statement, and possibly proof, of a group property (i.e., abelian group) satisfying a group metaproperty (i.e., subgroup-closed group property)
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Statement
Any subgroup of an abelian group is an abelian group.
Related facts
Related nice properties of abelian groups
- Abelianness is varietal
- Abelianness is quotient-closed
- Abelianness is direct product-closed
- Abelianness is 2-local