Abstract
We examine the normal subgroup lattice of 2-transitive automorphism groups A(Ω) of infinite linearly ordered sets (Ω, ⩽). Using combinatorial methods, we prove that in each of these lattices the partially ordered subset of all those elements which are finitely generated as normal subgroups is a lattice in which infima and suprema of subsets of cardinality ⩽ ℵ1 always exist; two infinite distributive identities are also shown to hold. Similar methods are used to give a completeness result for reduced products of arbitrary partially ordered sets.
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