Group of prime power order order statistics-equivalent to an abelian group
Definition
A group of prime power order order statistics-equivalent to an abelian group is a group of prime power order that is order statistics-equivalent to an abelian group (in particular, 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 |
|---|---|---|---|---|
| Group of prime power order 1-isomorphic to an abelian group | ||||
| Abelian group of prime power order | ||||
| Finite Lazard Lie group | ||||
| Finite p-group of nilpotency class less than p | ||||
| Finite group of prime exponent |