On realizing centralizers of certain elements in the fundamental group of a 3-manifold

Feustel, C. D.

doi:10.1090/S0002-9939-1976-0405401-X

On realizing centralizers of certain elements in the fundamental group of a $3$-manifold
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Proc. Amer. Math. Soc. 55 (1976), 213-216 Request permission

Abstract:

The main result in this note is that if $\lambda$ is a simple loop in the boundary of a compact, irreducible, orientable $3$-manifold $M$ and $[\lambda ] \ne 1 \in {\pi _1}(M)$, one can represent the centralizer of $[\lambda ]$ in ${\pi _1}(M)$ by a Seifert fibred submanifold of $M$.

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