Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-03-01

Journal: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Included Journals: Scopus、SCIE

Volume: 138

Issue: 3

Page Number: 1153-1157

ISSN: 0002-9939

Key Words: infinite cyclic covering; knot; Seifert surface; knot group

Abstract: We construct a class of knots with the CI* property, that is, pi(1)(M(n)vertical bar partial derivative M(n)) not equal {e} for some n > 0. It follows that the infinite cyclic covering of such a knot cannot lie embedded in any compact 3-manifold.