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Minimally almost periodic
totally disconnected groups

Author: Claudio Nebbia
Journal: Proc. Amer. Math. Soc. 128 (2000), 347-351
MSC (1991): Primary 20E08; Secondary 22D05, 43A60
Published electronically: June 21, 1999
MathSciNet review: 1623040
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we prove that every closed noncompact group $G$ of isometries of a homogeneous tree which acts transitively on the tree boundary contains a normal closed cocompact subgroup $G'$ which is minimally almost periodic. Moreover we prove that $G'$ is a topologically simple group.

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Additional Information

Claudio Nebbia
Affiliation: Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, 00185 Roma, Italy

Received by editor(s): November 20, 1997
Received by editor(s) in revised form: March 31, 1998
Published electronically: June 21, 1999
Communicated by: Roe Goodman
Article copyright: © Copyright 1999 American Mathematical Society