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Abstract
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Let
be a compact orientable
aspherical
–manifold.
We show that if the profinite completion of
is isomorphic to the profinite completion of a free-by-cyclic group
or to the profinite completion of a surface-by-cyclic group, then
fibers
over the circle with compact fiber.
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Keywords
fibered $3$–manifold, profinite rigidity, cohomological
goodness
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Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 20E18, 20J05, 57M05
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Publication
Received: 27 September 2018
Revised: 11 March 2019
Accepted: 13 July 2019
Published: 25 March 2020
Proposed: Ian Agol
Seconded: Martin Bridson, Cameron Gordon
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