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Abstract
We prove that a loop Q has to be conjugacy closed modulo Z(Q) whenever all mappings L(x,y) and R(x,y) are automorphisms, N(Q) ⊴ Q, Q/N(Q) is an abelian group, and 〈Lx; x ∈ Q〉 is a normal subgroup of the multiplication group.
Received: 2007-03-14
Published Online: 2009-03-12
Published in Print: 2009-May
© de Gruyter 2009