On extensions of Moufang loops by a cyclic factor that is coprime to three

Abstract

The paper gives a complete description of semidirect products in Moufang loops in the case when the complement is cyclic and the order of the loop is not divisible by three. A special emphasis is put upon the description of the construction by means of autotopisms, and upon the interpretation of the situation when the normal subloop is a group.

Keywords

• extensions
• Moufang
• loops
• cyclic
• factor
• that
• coprime
• three