Locally finite minimal non-FC-groups

DOI10.1017/S030500410007777XzbMath0686.20034MaRDI QIDQ4204336

Mahmut Kuzucuoǧlu, Richard E. Phillips

Publication date: 1989

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

zbMATH Keywords

classification of finite simple groupsminimal non-FC-grouplocally finite imperfect minimal non-FC-groupsperfect locally finite minimal non-FC-group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Simple groups (20E32) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (17)

On infinitely generated groups whose proper subgroups are solvable. ⋮ Groups with iterated restrictions on conjugacy classes ⋮ Groups whose proper subgroups of infinite rank have minimax conjugacy classes ⋮ On the question of existence of minimal non-FC-groups ⋮ Permutation groups with cyclic-block property and $MNFC$-groups ⋮ Groups whose proper subgroups are locally finite-by-nilpotent. ⋮ GROUPS WHOSE PROPER SUBGROUPS OF INFINITE RANK HAVE FINITE CONJUGACY CLASSES ⋮ Locally graded minimal non \(CC\)-groups are \(p\)-groups ⋮ Retracted article: Barely transitivity and hypercentrality in locally finite \(p\)-groups. ⋮ A survey on just-non-\(\mathfrak X\) groups. ⋮ Minimal Non-FO-Groups ⋮ Non-simplicity of locally finite barely transitive groups ⋮ Groups with many subgroups having polycyclic-by-finite layers or derived subgroup ⋮ On certain characterizations of barely transitive groups. ⋮ Groups with many \(FC\)-subgroups ⋮ A constructive approach to accessible group classes ⋮ Subgroups of totally imprimitive permutation groups

Cites Work

• An identification theorem for the locally finite nontwisted Chevalley groups
• The classification of the simple periodic linear groups

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