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POSITIVE DEFINITE FUNCTIONS OF DIAGONAL LIMITS OF FINITE ALTERNATING GROUPS

Published online by Cambridge University Press:  03 December 2004

F. LEINEN  and
O. PUGLISI
F. LEINEN
Affiliation:
Fachbereich Mathematik und Informatik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germanyleinen@uni-mainz.de
O. PUGLISI
Affiliation:
Dipartimento di Matematica ‘U. Dini’, Università di Firenze, Viale Morgagni 67A, I-50134 Firenze, Italypuglisi@math.unifi.it
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Abstract

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.

Keywords

20B2220C0720C3020E3220F5020F69 (primary)42A8216S34 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 678 - 690
Copyright
The London Mathematical Society 2004

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