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Criteria for virtual fibering. (English) Zbl 1148.57023
The author proves that compact irreducible 3-manifolds with Euler characteristic 0, whose fundamental group is a subgroup of a right-angled Coxeter group or right-angled Artin group have a finite covering which is fibered. The result follows from a more general condition on the fundamental group which is called residually finite $$\mathbb Q$$-solvable. An analogous theorem is proved in the context of taut foliations. The result implies reflection orbifolds and arithmetic hyperbolic orbifolds defined by a quadratic form virtually fiber.

##### MSC:
 57M50 General geometric structures on low-dimensional manifolds 57M10 Covering spaces and low-dimensional topology 57R30 Foliations in differential topology; geometric theory 55R05 Fiber spaces in algebraic topology
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