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Indexed by:期刊论文

Date of Publication:2010-03-01

Journal:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Included Journals:SCIE、Scopus

Volume:138

Issue:3

Page Number:1153-1157

ISSN No.: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.