Universal Locally Finite Central Extensions of Groups

DOI10.1112/plms/s3-52.1.53zbMath0582.20022OpenAlexW2072507818MaRDI QIDQ3705608

Kenneth Keller Hickin

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1112/plms/s3-52.1.53

zbMATH Keywords

locally finite simple groupspermutational product of groupsamalgams of locally finite groupsembedding lemmasuniversal locally finite general extensions

Mathematics Subject Classification ID

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

Related Items (14)

Partial homogeneity in locally finite groups ⋮ Bjarni Jónsson's contributions in algebra ⋮ Some examples of locally finite simple Lie algebras ⋮ Existentially closed locally FC-groups ⋮ Ideals in the multiplication algebra of a non-associative K-algebra ⋮ Hall universal group as a direct limit of algebraic groups ⋮ Existentially closed central extensions of locally finite p-groups ⋮ Corrigendum and addendum to: ``Centralizers of finite subgroups in Hall's universal group. ⋮ An amalgamation for finite group extensions ⋮ Torsion generators for all abelian groups ⋮ Fusion of 2-elements in periodic groups with finite Sylow 2-subgroups ⋮ Universal locally finite maximally homogeneous semigroups and inverse semigroups ⋮ Existentially closed locally finite central extensions; multipliers and local systems ⋮ Controlling conjugacy classes in embeddings of locally finite groups

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