INFINITE PERMUTATION GROUPS AND MINIMAL SETS

DOI10.1093/QMATH/38.4.461zbMath0642.20005OpenAlexW1978428071MaRDI QIDQ3784299

David M. Evans

Publication date: 1987

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/38.4.461

zbMATH Keywords

orbitsBoolean algebradefinable subsetsMorley rankstability theoryminimal setshighly transitive permutation groups\(\aleph _ 0\)-categoricity\(\omega \)-stabledegenerate locally-finite homogeneous geometryprimitive group of permutationsShelah's finite equivalence relation theorem

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Multiply transitive infinite groups (20B22)

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