On elementary types of symmetric groups

DOI10.1007/BF02944950zbMath0232.20057MaRDI QIDQ2550807

Ralph McKenzie

Publication date: 1971

Published in: Algebra Universalis (Search for Journal in Brave)

Mathematics Subject Classification ID

Applications of logic to group theory (20A15)

Related Items (18)

Comparing quasi-finitely axiomatizable and prime groups ⋮ Unnamed Item ⋮ Permutations and implicit definability ⋮ On the automorphism groups of homogeneous and saturated Boolean algebras ⋮ Recognizing the Real Line ⋮ Some Universal Sets of Terms ⋮ Elementary equivalent pairs of algebras associated with sets ⋮ Automorphism groups of totally ordered sets: A retrospective survey ⋮ Automorphism groups of ultrafilters ⋮ There are just four second-order quantifiers ⋮ Ultraproducts and elementary types of some groups related to infinite symmetric groups ⋮ On the elementary equivalence of automorphism groups of Boolean algebras; downward Skolem Löwenheim theorems and compactness of related quantifiers ⋮ Elementary definability of symmetry groups ⋮ On the reconstruction of boolean algebras from their automorphism groups ⋮ The Small Index Property for Free Nilpotent Groups ⋮ First order theory of permutation groups ⋮ On distinguishing quotients of symmetric groups ⋮ Elementary equivalence of infinite-dimensional classical groups

Cites Work

• An extended arithmetic of ordinal numbers
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