Alexander groups and virtual links

Authors
Silver, DS Williams, SG
Citation
Ds. Silver et Sg. Williams, Alexander groups and virtual links, J KNOT TH R, 10(1), 2001, pp. 151-160
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
ISSN journal
02182165 → ACNP
Volume
10
Issue
1
Year of publication
2001
Pages
151 - 160
Database
ISI
SICI code
0218-2165(200102)10:1<151:AGAVL>2.0.ZU;2-D
Abstract
The extended Alexander group of an oriented virtual link l of d components is defined. From its abelianization a sequence of polynomial invariants Del ta (i)(u(1),...,u(d),v), i = 0, 1,..., is obtained . When l is a classical link, Delta (i) reduces to the well-known ith Alexander polynomial of the l ink in the d variables u(1)v,...,u(d)v; in particular, Delta (0) vanishes.