Moufang loops of order coprime to three that cyclically extend groups of dihedral type

Abstract

This paper completely solves the isomorphism problem for Moufang loops Q = GC, where G is a noncommutative group with cyclic subgroup of index two and at most two-elrment center, G is normal in Q and irtersects C trivially, C is cyclic, and the order of Q is finite and coprime to three.

Keywords

• Moufang
• loops
• order
• coprime
• three
• that
• cyclically
• extend
• groups
• dihedral
• type