On the structure of \(\aleph_0\)-categorical groups

DOI10.1016/0021-8693(83)90192-8zbMath0512.20013OpenAlexW2041794165MaRDI QIDQ1839309

A. B. Apps

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90192-8

zbMATH Keywords

finite simple groupsaleph-nought-categoricitycharacteristically simple non-abelian \(p\)-groupslocally finite characteristically simple groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items

On \(\omega \)-categorical groups and rings of finite burden ⋮ Elementary equivalence of Cartesian powers of the same group. ⋮ Some Remarks on dp-Minimal Groups ⋮ On ω-categorical groups and their completions ⋮ \(\aleph_0\)-categoricity of semigroups. II. ⋮ On automorphisms of relatively free groups ⋮ On 𝜔-categorical groups and rings with NIP ⋮ \(\aleph _0\)-categoricity of semigroups

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