Complete existentially closed locally finite groups
DOI10.1007/BF01194072zbMath0563.20037MaRDI QIDQ1057365
Publication date: 1985
Published in: Archiv der Mathematik (Search for Journal in Brave)
normal subgroupslocally finite groupsuniversal locally finite groupsexistentially closed groupscharacteristically simplecomplete locally finite p-groupsJensen's principlelocally finite \(\pi \) -groupslocally finite-soluble \(\pi \) -groupsuncountable subgroups
Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Model-theoretic algebra (03C60) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphism groups of groups (20F28) Local properties of groups (20E25)
Related Items (10)
Cites Work
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- Existenziell abgeschlossene lokal endliche p-Gruppen
- Uncountable universal locally finite groups
- Existentially closed structures and Jensen's principle \(\diamond\)
- Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
- Some Constructions for Locally Finite Groups
- Embedding Theorems for Groups
- Complete Universal Locally Finite Groups
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