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12.54 (1992)

Open

Is there a normal valued $l$-group $G$ for which there is no abelian $l$-group $A$ with $C(A) \cong C(G)$? (Here $C(G)$ denotes the lattice of convex $l$-subgroups of $G$. If $G$ is not required to be normal valued, this question has an affirmative answer.)

Contributor: S. McCleary

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