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The flat closing problem for buildings

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Ciobotaru, Corina Gabriela [UCL]

Using the notion of a strongly regular hyperbolic automorphism of a locally finite Euclidean building, we prove that any (not necessarily discrete) closed, co-compact subgroup of the type-preserving automorphisms group of a locally finite general non-spherical building contains a compact-by-Z^d subgroup, where d is the dimension of a maximal flat.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2014
Language Anglais
Journal information "Algebraic & Geometric Topology" - Vol. 14, no. 5, p. 3089-3096 (2014)
Peer reviewed yes
Publisher University of Warwick
issn 1472-2747
e-issn 1472-2739
Publication status Accepté/Sous presse
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords Groups acting on buildings ; Gromov
Links
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  3. Caprace Pierre-Emmanuel, Zadnik Gašper, Regular elements in CAT(0) groups, 10.4171/ggd/195
  4. Gromov, Geometric group theory, Vol. 2, 182, 1 (1993)
  5. Hruska G Christopher, Kleiner Bruce, Hadamard spaces with isolated flats, with an appendix written jointly with Mohamad Hindawi, 10.2140/gt.2005.9.1501
  6. Prasad Gopal, Raghunathan M. S., Cartan Subgroups and Lattices in Semi-Simple Groups, 10.2307/1970790
  7. Ronan, Lectures on buildings, 7 (1989)
  8. Ruane Kim E., 10.1023/a:1010301824765
  9. Steinberg Robert, Regular elements of semisimple algebraic groups, 10.1007/bf02684397
Bibliographic reference Ciobotaru, Corina Gabriela. The flat closing problem for buildings. In: Algebraic & Geometric Topology, Vol. 14, no. 5, p. 3089-3096 (2014)
Permanent URL http://hdl.handle.net/2078.1/141848