A small infinitely-ended 2-knot group

R.Budney and J.A.Hillman

Abstract

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.