Abstract

Results are obtained concerning normal subgroups of the automorphism groups of certain infinite trees. These structures are mostly ℵo-categorical, and are trees in a poset-theoretic but not graph-theoretic sense. It is shown that the automorphism group has a smallest non-trivial normal subgroup, a largest proper normal subgroup, and at least 22ο normal subgroups between these two. We also obtain and use some results on groups of automorphisms of chains.

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