Existentially closed locally finite central extensions; multipliers and local systems

DOI10.1007/BF01161954zbMath0551.20021OpenAlexW1968358050MaRDI QIDQ801156

Richard E. Phillips

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173498

zbMATH Keywords

centerfinite simple groupsSchur multiplieruniversal locally finite groupscountable locally finite groupsexistentially closed groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Local properties of groups (20E25)

Related Items (8)

Partial homogeneity in locally finite groups ⋮ Existentially closed locally finite p-groups ⋮ On absolutely simple locally finite groups ⋮ Infinite alternating groups as finitary linear transformation groups ⋮ Existentially closed central extensions of locally finite p-groups ⋮ An amalgamation for finite group extensions ⋮ Torsion generators for all abelian groups ⋮ Controlling conjugacy classes in embeddings of locally finite groups

Cites Work

• Group extensions, representations, and the Schur multiplicator
• Universal Locally Finite Central Extensions of Groups
• LINEAR GROUPS GENERATED BY TRANSVECTIONS
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