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REDUCTS OF STRUCTURES AND MAXIMAL-CLOSED PERMUTATION GROUPS
MANUEL BODIRSKY, DUGALD MACPHERSON
Journal:

The Journal of Symbolic Logic / Volume 81 / Issue 3 / September 2016

Published online by Cambridge University Press:

14 September 2016, pp. 1087-1114

Print publication:

September 2016
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Answering a question of Junker and Ziegler, we construct a countable first order structure which is not ω-categorical, but does not have any proper nontrivial reducts, in either of two senses (model-theoretic, and group-theoretic). We also construct a strongly minimal set which is not ω-categorical but has no proper nontrivial reducts in the model-theoretic sense.

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REDUCTS OF STRUCTURES AND MAXIMAL-CLOSED PERMUTATION GROUPS