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arXiv · 1402.5554

The flat closing problem for buildings

Corina Ciobotaru
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Abstract

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.

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Corina Ciobotaru. 2014-07-19. The flat closing problem for buildings. https://doi.org/10.2140/agt.2014.14.3089

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