Abstract
The purpose of this note is to explore two recently discovered lattice-ordered groups, and to establish that they are l l -simple, i.e., have no proper l l -ideals. These groups are “pathologically o − 2 o-2 -transitive” ordered permutation groups acting on the real line. The two groups exhibit even nastier properties than previous pathological groups, and serve as counterex-amples to several conjectures about l l -groups.
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