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Imbeddings of Three Manifold Groups Book PDF Summary

This paper deals with the two broad questions of how 3-manifold groups imbed in one another and how such imbeddings relate to any corresponding [lowercase Greek]Pi1-injective maps. In particular, we are interested in 1) determining which 3-manifold groups are no cohopfian, that is, which 3-manifold groups imbed properly in themselves, 2) determining the knot subgroups of a knot group, and 3) determining when surgery on a knot [italic]K yields a lens (or "lens-like") space and the relationship of such a surgery to the knot-subgroup structure of [lowercase Greek]Pi1([italic]S3 - [italic]K). Our work requires the formulation of a deformation theorem for [lowercase Greek]Pi1-injective maps between certain kinds of Haken manifolds and the development of some algebraic tools.

Detail Book of Imbeddings of Three Manifold Groups PDF

Imbeddings of Three Manifold Groups
  • Author : Francisco González-Acuña
  • Release : 20 September 1992
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821825341
  • Genre : Mathematics
  • Total Page : 71 pages
  • Language : English
  • PDF File Size : 19,8 Mb

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