# Download Imbeddings of three-manifold groups by Francisco Gonzalez-Acuna, Wilbur C. Whitten PDF

April 4, 2017 | | By admin |

By Francisco Gonzalez-Acuna, Wilbur C. Whitten

This paintings offers with the 2 extensive questions of ways three-manifold teams imbed in a single one other and the way such imbeddings relate to any corresponding $\pi _1$-injective maps. the focal point is on whilst a given three-manifold covers one other given manifold. particularly, the authors are occupied with 1) deciding upon which three-manifold teams will not be cohopfian---that is, which three-manifold teams imbed appropriately in themselves; 2) discovering the knot subgroups of a knot team; and three) investigating whilst surgical procedure on a knot $K$ yields lens (or "lens-like") areas and the way this pertains to the knot subgroup constitution of $\pi _1(S^3-K)$. The authors use the formula of a deformation theorem for $\pi _1$-injective maps among definite different types of Haken manifolds and enhance a few algebraic instruments.

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