This article is cited in 1 paper

On automorphisms of commutative Moufang loops

N. T. Lupasço


Abstract: It is proved that the automorphism group of any commutative Moufang loop $Q$ is an extension of the group $F(1)$ consisting of all automorphisms of the loop $Q$ which induce the identity mapping onto the factor-loop $Q/A(Q)$ of $Q$ by means of the automorphism group of the abelian group $Q/A(Q)$. We investigate the structure of the group $F(1)$ in the cases where the loop $Q$ is either centrally nilpotent, or finitely generated, or is a $ZA$-loop.

UDC: 519.48

Received: 11.10.2010

DOI: 10.4213/dm1146

 English version: Discrete Mathematics and Applications, 2011, 21:3, 309–316

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