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CONTRACTION GROUPS FOR TIDY AUTOMORPHISMS OF TOTALLY DISCONNECTED GROUPS

Published online by Cambridge University Press:  27 July 2005

HELGE GLÖCKNER
HELGE GLÖCKNER
Affiliation:
TU Darmstadt, Fachbereich Mathematik AG 5, Schlossgartenstr. 7, 64289 Darmstadt, Germany e-mail: gloeckner@mathematik.tu-darmstadt.de
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Abstract

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In this note, we show that results of U. Baumgartner and G. A. Willis concerning contraction groups of automorphisms of metrizable totally disconnected, locally compact groups remain valid also in the non-metrizable case, if one restricts attention to automorphisms for which small tidy subgroups exist.

Keywords

Primary 22D05Secondary 22D4022D45
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 2 , May 2005 , pp. 329 - 333
Copyright
2005 Glasgow Mathematical Journal Trust

Footnotes

The present research was supported by DFG grant 447 AUS-113/22/0-1 and ARC grant LX 0349209. The author thanks U. Baumgartner and G.A. Willis for discussions concerning the tidying procedure.