A small infinitely-ended 2-knot group

R.Budney and J.A.Hillman


We show that a 2-knot group discovered in the course of a census of 4-manifolds with small triangulations is an HNN extension with finite base and proper associated subgroups, and has the smallest base among such knot groups.

Keywords: end; 2-knot; 4-manifold; virtually free.

AMS Subject Classification: Primary 57Q45.

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Friday, March 21, 2014