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math.GT2005
Lehmer's question, knots and surface dynamics
Daniel S. Silver, Susan G. Williams
Lehmer's question is equivalent to one about generalized growth rates of Lefschetz numbers of iterated pseudo-Anosov surface homeomorphisms. One need consider only homeomorphisms t…
math.DS2005
An invariant of finite group actions on shifts of finite type
Daniel S. Silver, Susan G. Williams
We describe a pair of invariants for actions of finite groups on shifts of finite type, the left-reduced and right-reduced shifts. The left-reduced shift was first constructed by U…
math.GT2005
Crowell's derived group and twisted polynomials
Daniel S. Silver, Susan G. Williams
The derived group of a permutation representation, introduced by R.H. Crowell, unites many notions of knot theory. We survey Crowell's construction, and offer new applications. The…