POSITIVE DEFINITE FUNCTIONS OF DIAGONAL LIMITS OF FINITE ALTERNATING GROUPS

DOI10.1112/S0024610704005691zbMath1107.20003OpenAlexW2093933939MaRDI QIDQ4656434

Felix Leinen, Orazio Puglisi

Publication date: 11 March 2005

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

Full work available at URL: https://doi.org/10.1112/s0024610704005691

zbMATH Keywords

numbers of orbitspositive definite class functionsideals of group algebraslocally finite simple groupsdirect limits of finite alternating groups

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Asymptotic properties of groups (20F69) Ideals in associative algebras (16D25) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (4)

Invariant random subgroups of inductive limits of finite alternating groups ⋮ Invariant random subgroups of strictly diagonal limits of finite symmetric groups ⋮ On invariant random subgroups of block-diagonal limits of symmetric groups ⋮ Characters of inductive limits of finite alternating groups

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