Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-24T14:36:33.383Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
O. PUGLISI
Affiliation:
Dipartimento di Matematica ‘U. Dini’, Università di Firenze, Viale Morgagni 67A, I-50134 Firenze, [email protected]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)