# A fibering theorem for 3-manifolds

@article{Sahattchieve2021AFT,
title={A fibering theorem for 3-manifolds},
author={Jordan Sahattchieve},
journal={journal of Groups, complexity, cryptology},
year={2021}
}
• Jordan Sahattchieve
• Published 4 January 2021
• Mathematics
• journal of Groups, complexity, cryptology
We generalize a result of Moon on the fibering of certain 3-manifolds over the circle. Our main theorem is the following: Let $M$ be a closed 3-manifold. Suppose that $G=\pi_1(M)$ contains a finitely generated group $U$ of infinite index in $G$ which contains a non-trivial subnormal subgroup $N\neq \mathbb{Z}$ of $G$, and suppose that $N$ has a composition series of length $n$ in which at least $n-1$ terms are finitely generated. Suppose that $N$ intersects nontrivially the fundamental groups…

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