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CRITERIA FOR VIRTUAL FIBERING
"... Abstract. We prove that an irreducible 3-manifold whose fundamental group satisfies a certain group-theoretic property is virtually fibered. As a corollary, we show that 3dimensional reflection orbifolds and arithmetic hyperbolic orbifolds defined by a quadratic form virtually fiber. Moreover, we sh ..."
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Abstract. We prove that an irreducible 3-manifold whose fundamental group satisfies a certain group-theoretic property is virtually fibered. As a corollary, we show that 3dimensional reflection orbifolds and arithmetic hyperbolic orbifolds defined by a quadratic form virtually fiber. Moreover, we show that a taut sutured compression body has a finitesheeted cover with a taut orientable depth one foliation. 1.
doi:10.1112/jtopol/jtn003 Criteria for virtual fibering
"... We prove that an irreducible 3-manifold with fundamental group that satisfies a certain group-theoretic property called RFRS is virtually fibered. As a corollary, we show that 3-dimensional reflection orbifolds and arithmetic hyperbolic orbifolds defined by a quadratic form virtually fiber. These in ..."
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We prove that an irreducible 3-manifold with fundamental group that satisfies a certain group-theoretic property called RFRS is virtually fibered. As a corollary, we show that 3-dimensional reflection orbifolds and arithmetic hyperbolic orbifolds defined by a quadratic form virtually fiber. These include the Seifert Weber dodecahedral space and the Bianchi groups. Moreover, we show that a taut-sutured compression body has a finite-sheeted cover with a depth one taut-oriented foliation. 1.
