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# Alexander Groups and Virtual Links

@inproceedings{Silver2001AlexanderGA, title={Alexander Groups and Virtual Links}, author={Daniel S. Silver and Susan G. Williams}, year={2001} }

- Published 2001

The extended Alexander group of an oriented virtual link l of d components is defined. From its abelianization a sequence of polynomial invariants ∆i(u1, . . . , ud, v), i = 0, 1, . . . , is obtained. When l is a classical link, ∆i reduces to the well-known ith Alexander polynomial of the link in the d variables u1v, . . . , udv; in particular, ∆0 vanishes.