SOME INFINITE PERMUTATION MODULES

DOI10.1093/qmath/42.1.15zbMath0719.20002OpenAlexW2011841512MaRDI QIDQ5751057

Alan R. Camina, David M. Evans

Publication date: 1991

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/42.1.15

zbMATH Keywords

indecomposabilityascending chain conditioninfinite symmetric groupspermutation moduleFG-moduleinfinite transitive permutation groupssubmodule structure

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) General theory for infinite permutation groups (20B07) Representations of infinite symmetric groups (20C32) Multiply transitive infinite groups (20B22)

Related Items (7)

Schur Orthogonality Relations for the Finitary Infinite Symmetric Group ⋮ Cayley graphs having nice enumerations ⋮ Modular group rings of the finitary symmetric group ⋮ The structure of some permutation modules for the symmetric group of infinite degree ⋮ On the automorphism groups of finite covers ⋮ On the number of orbits of a group in two permutation actions ⋮ Finite generation of symmetric ideals

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