Homomorphisms of Knot Groups on Finite Groups
نویسندگان
چکیده
منابع مشابه
Homomorphisms of Knot Groups on Finite Groups
We describe trial and error computer programs for finding certain homomorphisms of a knot group on a special projective group LF(2, p), p prime, and programs to evaluate #i(3TC ; Z) where 9TC is a finitely sheeted branched covering space of S3 associated with such a homomorphism. These programs have been applied to several collections of examples, in particular to the Kinoshita-Terasaka knots, ...
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The residual finiteness of the class of groups of fibred knots, or those knot groups with finitely generated and, therefore, free commutator subgroups, has been known for some time. Using Baumslag's results on absolutely parafree groups, this paper extends the result to twist knots (Whitehead doubles of the trivial knot) and certain other classes of nonfibred knots whose minimal spanning surfac...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1971
ISSN: 0025-5718
DOI: 10.2307/2005224