Minimally almost periodic totally disconnected groups
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- by Claudio Nebbia PDF
- Proc. Amer. Math. Soc. 128 (2000), 347-351 Request permission
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.References
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Additional Information
- Claudio Nebbia
- Affiliation: Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, 00185 Roma, Italy
- Email: nebbia@mercurio.mat.uniroma1.it
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 347-351
- MSC (1991): Primary 20E08; Secondary 22D05, 43A60
- DOI: https://doi.org/10.1090/S0002-9939-99-05027-3
- MathSciNet review: 1623040