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

Alexander Grishkov; Dylene Agda Souza de Barros; Petr Vojt\v{e}chovsk\'y

arxiv: 1509.05465 · v1 · pith:XU3FIE7Wnew · submitted 2015-09-17 · 🧮 math.GR

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

Dylene Agda Souza de Barros , Alexander Grishkov , Petr Vojt\v{e}chovsk\'y This is my paper

classification 🧮 math.GR

keywords automorphicloopclasscommutativefreegeneratednilpotencyautomorphisms

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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.

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

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