activity
20002009
most citedVirtual Knot Invariants from Group Biquandles and Their Cocycles

2 citations · 5 across the 8 of their papers we have counts for

collaborators
Showing 2004Show all

3 papers · 1 filter

math.GT2004

An invariant for open virtual strings

Daniel S. Silver, Susan G. Williams

Extended Alexander groups are used to define an invariant for open virtual strings. Examples of non-commuting open strings and a ribbon-concordance obstruction are given. An exampl…

math.GT2004★ 1 cited

Alexander groups of long virtual knots

Daniel S. Silver, Susan G. Williams

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…

math.GT2004★ 1 cited

Lifting representations of Z-groups

Daniel S. Silver, Susan G. Williams

Let K be the kernel of an epimorphism G -> Z, where G is a finitely presented group. If K has infinitely many subgroups of index 2, 3, or 4, then it has uncountably many. Moreover,…