Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

Request Permissions   Purchase Content 
 

 

A topological characterization of the Moufang property for compact polygons


Author: Nicolas Radu
Journal: Trans. Amer. Math. Soc. 369 (2017), 2151-2181
MSC (2010): Primary 20E42, 51E24; Secondary 20F65, 22D05
DOI: https://doi.org/10.1090/tran/6737
Published electronically: July 15, 2016
MathSciNet review: 3581230
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We prove a purely topological characterization of the Moufang property for disconnected compact polygons in terms of convergence groups. As a consequence, we recover the fact that a locally finite thick affine building of rank $ 3$ is a Bruhat-Tits building if and only if its automorphism group is strongly transitive. We also study automorphism groups of general compact polygons without any homogeneity assumption. A compactness criterion for sets of automorphisms is established, generalizing the theorem by Burns and Spatzier that the full automorphism group, endowed with the compact-open topology, is a locally compact group.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 20E42, 51E24, 20F65, 22D05

Retrieve articles in all journals with MSC (2010): 20E42, 51E24, 20F65, 22D05


Additional Information

Nicolas Radu
Affiliation: Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
Email: nicolas.radu@uclouvain.be

DOI: https://doi.org/10.1090/tran/6737
Received by editor(s): November 28, 2014
Received by editor(s) in revised form: April 21, 2015
Published electronically: July 15, 2016
Additional Notes: The author is an F.R.S.-FNRS Research Fellow
Article copyright: © Copyright 2016 American Mathematical Society