Lawlessness and rank restrictions in certain finitary groups

DOI10.1090/S0002-9939-02-06673-XzbMath1002.20026OpenAlexW1502493699MaRDI QIDQ4536042

C. J. E. Pinnock

Publication date: 17 June 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06673-x

zbMATH Keywords

varietiesfinitary permutation groupsfinitary groupsPrüfer ranksAbelian by locally-finite groupslaws on groupslocally-soluble by locally-finite groups

Mathematics Subject Classification ID

Other matrix groups over rings (20H25) Quasivarieties and varieties of groups (20E10) Multiply transitive infinite groups (20B22)

Cites Work

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• Homomorphic images of finitary linear groups
• The lawlessness of groups of finitary permutations
• Irreducible and transitive locally-nilpotent by Abelian finitary groups
• Locally Finite Finitary Skew Linear Groups
• Supersolubility in Certain Skew Linear Groups
• Locally soluble primitive finitary skew linear groups
• Countable recognizability of primitive periodic finitary linear groups

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