2 problems

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Conjecture on isomorphism types of commutative A-loops of order $p^3$
Isomorphism-type conjecture. The loops
Conjectureopencommutative-loops isomorphism loop-theoryarXiv posted 2 days ago
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Classification conjecture for commutative A-loops of order $p^3$
Classification conjecture. The class of loops constructed below accounts for all commutative A-loops of order $p^3$ .
Conjectureopena-loops commutative-loops loop-theoryarXiv posted 2 days ago

Conjecture on isomorphism types of commutative A-loops of order p3p^3p3