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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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