Two-knots II: an algebraic approach

Akio Kawauchi
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Akio Kawauchi: Osaka City University, Department of Mathematics

Chapter Chapter 14 in A Survey of Knot Theory, 1996, pp 189-200 from Springer

Abstract: Abstract By an n-knot group, we mean the fundamental group π1 (S n+2 - K n , b) for an n-knot K n in S n+2 . Similarly, by a surface-knot group, we mean the fundamental group π1 (S 4 - F, b) for an oriented surface-knot F in S 4 . In this chapter, we discuss some properties of 2-knot groups in comparison with those of the other dimensional knot groups and surface-knot groups.

Keywords: Abelian Group; Algebraic Approach; Commutator Subgroup; Finite Abelian Group; Alexander Polynomial (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-3-0348-9227-8_15

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