A note on lens space surgeries: orders of fundamental groups versus Seifert genera

Abstract

Let K be a non-trivial knot in the 3-sphere with a lens space surgery and L(p,q) a lens space obtained by a Dehn surgery on K. We study a relationship between the order of the fundamental group of L(p,q) and the Seifert genus of K.Comment: 7 pages, 4 figure