ALEXANDER GROUPS OF LONG VIRTUAL KNOTS

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  • DANIEL S. SILVER
    Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA
  • SUSAN G. WILLIAMS
    Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA

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<jats:p>Alexander group systems for virtual long knots are defined and used to show that any virtual knot is the closure of infinitely many long virtual knots. Manturov's result that there exists a pair of long virtual knots that do not commute is reproved.</jats:p>

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