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edited Dec 11, 2011 at 8:17

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ag.algebraic-geometry complex-geometry gr.group-theory tag-removed surfaces

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edited Dec 11, 2011 at 7:50

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tag-removed geometry ag.algebraic-geometry complex-geometry gr.group-theory

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asked Dec 11, 2011 at 7:38

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Abelian subgroups of ball quotient

Let $X$ be a compact complex surface of general type which a ball quotient. Is it true that $\pi_{1}(X)$ can not contain ${\mathbb{Z}}^{2}$ as a subgroup? What kind of infinite abelian groups can occur as a subgroup of $\pi_{1}(X)$?

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