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Diagonal limits of finite alternating groups: confined subgroups, ideals, and positive definite functions.

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Publication:1409619
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zbMath1045.20022MaRDI QIDQ1409619

Orazio Puglisi, Felix Leinen

Publication date: 16 October 2003

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

permutation representationslattices of idealsconfined subgroupslocally finite simple groupsdirect limits of alternating groups


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ideals in associative algebras (16D25) Positive definite functions on groups, semigroups, etc. (43A35) Multiply transitive infinite groups (20B22)


Related Items

On classification of inductive limits of direct products of alternating groups ⋮ Invariant random subgroups of inductive limits of finite alternating groups ⋮ A commutator lemma for confined subgroups and applications to groups acting on rooted trees ⋮ Simple groups of dynamical origin ⋮ Characters of inductive limits of finite alternating groups



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