Geodesic
The flat closing problem for buildings
Ciobotaru, Corina1
1Institut de recherche en mathématique et physique (IRMP), UCL, Chemin du Cyclotron 2, bte L7.01.01, 1348 Louvain-la-Neuve, Belgium
Algebraic and Geometric Topology, Tome 14 (2014) no. 5, pp. 3089-3096
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Using the notion of a strongly regular hyperbolic automorphism of a locally finite Euclidean building, we prove that any (not necessarily discrete) closed, cocompact subgroup of the type-preserving automorphisms group of a locally finite general nonspherical building contains a compact-by-Zd subgroup, where d is the dimension of a maximal flat.

DOI : 10.2140/agt.2014.14.3089
Keywords: groups acting on buildings, Gromov's flat closing problem

Ciobotaru, Corina  1

1 Institut de recherche en mathématique et physique (IRMP), UCL, Chemin du Cyclotron 2, bte L7.01.01, 1348 Louvain-la-Neuve, Belgium 
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Ciobotaru, Corina. The flat closing problem for buildings. Algebraic and Geometric Topology, Tome 14 (2014) no. 5, pp. 3089-3096. doi: 10.2140/agt.2014.14.3089

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