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Journal of the London Mathematical Society (1)

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POSITIVE DEFINITE FUNCTIONS OF DIAGONAL LIMITS OF FINITE ALTERNATING GROUPS
F. LEINEN, O. PUGLISI
Journal:

Journal of the London Mathematical Society / Volume 70 / Issue 3 / December 2004

Published online by Cambridge University Press:

03 December 2004, pp. 678-690

Print publication:

December 2004
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The normalized positive definite class functions $\C G\,{\longrightarrow}\,\C$ are determined for all those direct limits $G$ of finite alternating groups $\Alt(\Omega_i)$ for which the embeddings $\Alt(\Omega_i)\,{\longrightarrow}\,\Alt(\Omega_j)$ are natural in the sense that every non-trivial $\Alt(\Omega_i)$-orbit in $\Omega_j$ is natural.