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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Homomorphs of Knot and Link Groups

Presented by Daniel Lines, Universite de Bourgogne (Dijon), France

18 February 2008 16:15 in CM221

I shall describe in this talk my joint work with Vitaliy Kurlin, in which we
characterise the groups $G$ that can appear as the image by a surjective
homomorphism of a classical link group, We also determine the systems of
elements of $G$ which can be the image of the meridians, respectively the
preferred longitudes of a link.

The conditions we obtain can be expressed as obstructions in the second homology
group of $G$ and a quotient of the third homology group of the abelianization of
$G$.

Contact anna.felikson@durham.ac.uk for more information