Group of prime power order 1-isomorphic to an abelian group
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Definition
A group of prime power order 1-isomorphic to an abelian group is a group of prime power order that is 1-isomorphic to an abelian group (in particular, to an abelian group of prime power order).
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| Abelian group of prime power order | ||||
| Finite p-group of nilpotency class less than p |