Partial homogeneity in locally finite groups

DOI10.1007/BF01161977zbMath0595.20026OpenAlexW2016752665MaRDI QIDQ1077531

Susan E. Schuur, Richard E. Phillips

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/173836

zbMATH Keywords

universal locally finite groupscountably infinite locally finite simple groupsisomorphic finite \(\pi \)-subgroups are conjugateisomorphism types of countable direct limits of \(\Omega \)- groupspartial homogeneity condition

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Finite simple groups and their classification (20D05) Local properties of groups (20E25) Limits, profinite groups (20E18)

Related Items (1)

Controlling conjugacy classes in embeddings of locally finite groups

Cites Work

• Existentially closed locally finite central extensions; multipliers and local systems
• The structure of finitary permutation groups
• Lokale Systeme in universellen Gruppen
• Some Constructions for Locally Finite Groups
• Universal Locally Finite Central Extensions of Groups
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