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IJAC
2007

Property (FA) and Lattices in su(2, 1)

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Property (FA) and Lattices in su(2, 1)
In this paper we consider Property (FA) for lattices in SU(2, 1). First, we prove that SU(2, 1; O3) has Property (FA). We then prove that the arithmetic lattices in SU(2, 1) of second type arising from congruence subgroups studied by Rapoport–Zink and Rogawski cannot split as a nontrivial free product with amalgamation; one such example is Mumford’s fake projective plane. In fact, we prove that the fundamental group of any fake projective plane has Property (FA).
Matthew Stover
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2007
Where IJAC
Authors Matthew Stover
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