Amalgamation of locally finite p-groups over a countable FC-group

DOI10.1007/BF01194406zbMath0645.20013OpenAlexW2326107994MaRDI QIDQ1103051

Felix Leinen

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194406

zbMATH Keywords

locally finite groupschief seriesnormal seriesamalgamation theoremslocally finite p-groupspermutational productamalgamation basiscountable FC-subgroupPrüfer p- group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Cites Work

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• An amalgamation theorem for group extensions
• Existentially closed L\({\mathfrak X}\)-groups
• Existentially closed locally finite p-groups
• Existenziell abgeschlossene lokal endliche p-Gruppen
• On amalgams of periodic groups
• A Uniform Way to Control Chief Series in Finite p -Groups and to Construct the Countable Algebraically Closed Locally Finite p -Groups
• Existentially closed groups in locally finite group classes
• An Amalgamation Theorem For Soluble Groups
• Two remarks on amalgams of locally finite groups
• On permutational products of groups

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