The free commutative automorphic $2$-generated loop of nilpotency class $3$

Abstract

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 in corpus (1)

• The structure of automorphic loops

Cited by in corpus (1)

• Three lectures on automorphic loops