Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions

DOI10.5565/PUBLMAT_32188_02zbMath0649.20036OpenAlexW1984433527MaRDI QIDQ1105699

Juan Manuel Peña

Publication date: 1988

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41021

zbMATH Keywords

infinite simple locally finite groupChernikov classesChernikov-by- hypocentral groupshypercentral-by-Chernikov groupsinfinite locally finite fieldlocally finite minimal non-X groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Local properties of groups (20E25)

Related Items (14)

GROUPS OF INFINITE RANK WITH A NORMALIZER CONDITION ON SUBGROUPS ⋮ A local study of group classes ⋮ On groups whose all proper subgroups have Chernikov derived subgroups. ⋮ A note on groups whose proper subgroups are quasihamiltonian-by-finite ⋮ Unnamed Item ⋮ Minimal non-cc-groups ⋮ On locally graded minimal non-(finite-by-hypercentral) groups ⋮ Linear groups whose proper subgroups are close to being nilpotent ⋮ GROUPS WHOSE PROPER SUBGROUPS OF INFINITE RANK HAVE FINITE CONJUGACY CLASSES ⋮ On groups with all proper subgroups finite-by-abelian-by-finite ⋮ Groups with many modular or self-normalizing subgroups ⋮ Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank ⋮ Unnamed Item ⋮ A constructive approach to accessible group classes

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