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Keywords:
free commutative automorphic loop; automorphic loop; associator calculus
free commutative automorphic loop; automorphic loop; associator calculus
Summary:
A loop is automorphic if all its inner mappings are automorphisms. We construct the free commutative automorphic $2$-generated loop of nilpotency class $3$. It has dimension $8$ over the integers.
References:
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