9 citations · 23 across the 5 of their papers we have counts for
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On the penetration distance in Garside monoids
Volker Gebhardt, Stephen Tawn
We prove that the exponential growth rate of the regular language of penetration sequences is smaller than the growth rate of the regular language of normal form words, if the acce…
Zappa-Szép products of Garside monoids
Volker Gebhardt, Stephen Tawn
A monoid is the internal Zappa-Szép product of two submonoids, if every element of admits a unique factorisation as the product of one element of each of the submonoids in…
Normal forms of random braids
Volker Gebhardt, Stephen Tawn
Analysing statistical properties of the normal forms of random braids, we observe that, except for an initial and a final region whose lengths are uniformly bounded (that is, the b…
A presentation for the pure Hilden group
Stephen Tawn
Consider the unit ball, , containing unknotted arcs such that the boundary of each lies in . The Hilden (or Wicke…
A presentation for Hilden's subgroup of the braid group
Stephen Tawn
Consider the unit ball, B = D x [0,1], containing n unknotted arcs a_1, ... a_n such that the boundary of each a_i lies in D x {0}. We give a finite presentation for the mapping cl…