The flat closing problem for buildings

TY - JOUR

T1 - The flat closing problem for buildings

AU - Ciobotaru, Corina

N1 - Publisher Copyright: © 2014, Mathematical Sciences Publishers. All Rights reserved.

PY - 2014/11/6

Y1 - 2014/11/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84910595361&partnerID=8YFLogxK

U2 - 10.2140/agt.2014.14.3089

DO - 10.2140/agt.2014.14.3089

M3 - Journal article

AN - SCOPUS:84910595361

SN - 1472-2747

VL - 14

SP - 3089

EP - 3096

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 5

ER -