Irreducible and transitive locally-nilpotent by Abelian finitary groups

DOI10.1007/S000130050427zbMath0961.20032OpenAlexW2021730657MaRDI QIDQ1977794

C. J. E. Pinnock

Publication date: 29 May 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050427

zbMATH Keywords

Hirsch-Plotkin radicalhypercyclic groupslocally finite \(p\)-groupslocally supersoluble groupstransitive finitary permutation groupsirreducible groups of finitary linear transformations

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Other matrix groups over rings (20H25) Extensions, wreath products, and other compositions of groups (20E22) Subgroups of symmetric groups (20B35) Multiply transitive infinite groups (20B22)

Related Items (3)

Lawlessness and rank restrictions in certain finitary groups ⋮ Generalized Engel elements of groups ⋮ Permutation groups with cyclic-block property and $MNFC$-groups

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