Titlebook: Combinatorial and Geometric Group Theory; Dortmund and Ottawa- Oleg Bogopolski,Inna Bumagin,Enric Ventura Conference proceedings 2010 Birkh

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Generating Tuples of Virtually Free Groups,We give a complete description of all generating tuples of a virtually free group, i.e., we give a parametrization of ., Г) where . ∈ N and G is a virtually free group.

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Solving Random Equations in Garside Groups Using Length Functions,.For arbitrary .., finding the geodesic length of an element is NP-hard, by a 1991 result of by Paterson and Razborov. We show that a good estimation of the geodesic length of an element of .. in Artin’s presentation is measuring the length of its rational form in the . presentation. This is proved