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Constructions of Commutative Automorphic Loops by Jedlicka, Premysl; Kinyon, Michael; Vojtechovsky, Petr is a scholarly article available to read on EtoBox.

What is Constructions of Commutative Automorphic Loops about?

A loop whose inner mappings are automorphisms is an \emph{automorphic loop} (or \emph{A-loop}). We characterize commutative (A-)loops with middle nucleus of index 2 and solve the isomorphism problem. Using this characterization and certain central extensions based on trilinear forms, we construct several classes of commutative A-loops of order a power of 2. We initiate the classification of commutative A-loops of small orders and also of order $p^3$, where $p$ is a prime.

Author

Jedlicka, Premysl; Kinyon, Michael; Vojtechovsky, Petr

Published

2008

Language

EN