# Article

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Keywords:
dihedral group; Moufang loop; cyclic extension; semidirect product
Summary:
This paper completely solves the isomorphism problem for Moufang loops \$Q = GC\$ where \$G\unlhd Q\$ is a noncommutative group with cyclic subgroup of index two and \$|Z(G)| \le 2\$, \$C\$ is cyclic, \$G\cap C = 1\$, and \$Q\$ is finite of order coprime to three.
References:
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