Embeddings in groups of permutations with supports of bounded cardinality

DOI10.1016/0021-8693(80)90225-2zbMath0443.20006OpenAlexW2070314973MaRDI QIDQ1144122

Donato Giorgetta

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90225-2

zbMATH Keywords

direct product of countable groupsalpha-bounded groupsalpha-bounded permutation groupselementary class of groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Model-theoretic algebra (03C60) General structure theorems for groups (20E34) Quasivarieties and varieties of groups (20E10) Axiomatic model classes (08C10) Subgroups of symmetric groups (20B35)

Related Items

Problemi di decidibilita in logica topologica

Cites Work

• Model theory.
• Groups of finitary permutations
• The structure of finitary permutation groups
• The lawlessness of groups of finitary permutations
• Theorems of the Prüfer-Kulikov type
• First order theory of permutation groups
• Strong finiteness conditions in locally finite groups
• Periodic FC -Groups
• Embeddings in groups of countable permutations
• Intersection Theorems for Systems of Sets
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