Countable existentially closed locally FC-groups

DOI10.1016/0021-8693(91)90247-6zbMath0734.20011OpenAlexW2013729767MaRDI QIDQ810634

Frieder Haug

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90247-6

zbMATH Keywords

split extensionsautomorphism grouplocally finite groupsexistentially closed groupscountable e.c. LFC-groupscountable universal locally finite groupe.c. LFC-groupsgroup of nearly inner automorphismsHall's universal grouplocally FC-groupsunion of finite symmetric groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Model-theoretic algebra (03C60) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (2)

Existentially closed locally FC-groups ⋮ Ideals in the multiplication algebra of a non-associative K-algebra

Cites Work

• Unnamed Item
• Équivalence élémentaire entre groupes finis-par-abéliens de type fini
• Complete existentially closed locally finite groups
• Existentially closed L\({\mathfrak X}\)-groups
• Existentially closed locally finite p-groups
• Forcing, arithmetic, division rings
• Uncountable universal locally finite groups
• Profinite and residually finite groups
• Universal relational systems
• Some Constructions for Locally Finite Groups
• A Uniform Way to Control Chief Series in Finite p -Groups and to Construct the Countable Algebraically Closed Locally Finite p -Groups
• An Amalgamation Theorem for Locally FC-Groups
• Complete Universal Locally Finite Groups
• Homogeneous Universal Relational Systems.

This page was built for publication: Countable existentially closed locally FC-groups