Unsolvable problems about higher-dimensional knots and related groups

Details Unsolvable problems about higher-dimensional knots and related groups Unsolvable problems about higher-dimensional knots and related groups

2009-08-27

arxiv.org/abs/0908.4009v1

Mathematics

Group Theory

20 pages, AMSLaTeX, accepted for publication in L'Enseignement Mathematique

Scientific paper

We consider classes of fundamental groups of complements of various kinds of
codimension 2 embeddings and show that, in general, the problem of deciding
whether or not a group in one class belongs to a smaller class is
algorithmically unsolvable.

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