Existentially closed central extensions of locally finite p-groups

DOI10.1017/S0305004100066093zbMath0613.20017OpenAlexW2031173278MaRDI QIDQ3754171

Richard E. Phillips, Felix Leinen

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100066093

zbMATH Keywords

transitive normalitySchur multiplicatorcharacteristically simpleverbally completeexistentially closed locally finite p-groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items (3)

Die Automorphismengruppe der abzählbaren, existentiell abgeschlossenen \({\mathcal P}_ A\)-Gruppe \(E_ A\). (The automorphism group of the countable existentially closed \({\mathcal P}_ A\)-group \(E_ A)\) ⋮ Existentially closed locally cofinite groups ⋮ An amalgamation for finite group extensions

Cites Work

• Existentially closed locally finite central extensions; multipliers and local systems
• Existenziell abgeschlossene lokal endliche p-Gruppen
• Forcing, arithmetic, division rings
• On the structure of standard wreath products of groups
• Some Constructions for Locally Finite Groups
• Existentially closed groups in locally finite group classes
• Universal Locally Finite Central Extensions of Groups

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