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math.GR2008
Constructions of commutative automorphic loops
Premysl Jedlicka, Michael Kinyon, Petr Vojtechovsky
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 i…
math.GR2008★ 2 cited
The Structure of Commutative Automorphic Loops
Premysl Jedlicka, Michael Kinyon, Petr Vojtechovsky
An \emph{automorphic loop} (or \emph{A-loop}) is a loop whose inner mappings are automorphisms. Every element of a commutative A-loop generates a group, and $(xy)^{-1} = x^{-1}y^{-…