-свободные группы.
A Noetherian and confluent rewrite system for idempotent semigroups.
A note on a generalization of some undecidability results in group theory.
A Note On Generalization Of Some Undecidability Results In Group Theory
A Reducibility Arising from the Boone Groups.
A spelling theorem for staggered generalized 2-complexes, with applications.
Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem.
Algorithmic problems related to the direct product of groups.
Algorithmische Probleme bei Einrelatorgruppen und ihre Komplexität.
An algorithm for the word problem in extensions and the dependence of its complexity on the group representation
An alternative proof that the Fibonacci group is infinite.
Anwendungen der Nielsenschen Kürzungsmethode in Gruppen mit einer definierenden Relation.
Applications of Topological Graph Theory for Group Theory.
Artin Groups and Infinite Coxeter Groups.
Artin-Gruppen und Coxeter-Gruppen.
Automatic structures, rational growth, and geometrically finite hyperbolic groups.
Basic results on braid groups
These are Lecture Notes of a course given by the author at the French-Spanish School Tresses in Pau, held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be used to show results in braid groups. Using these techniques we provide several proofs of well known results in braid groups, namely the correctness of Artin’s presentation, that the braid group is torsion free, or that its center is generated by the full twist. We also recall some...
Berichtigung zu der Arbeit "Gleichungen in freien Produkten mit Amalgan".
Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem
It is proved for Abelian groups that the Reidemeister coincidence number of two endomorphisms ϕ and ψ is equal to the number of coincidence points of ϕ̂ and ψ̂ on the unitary dual, if the Reidemeister number is finite. An affirmative answer to the bitwisted Dehn conjugacy problem for almost polycyclic groups is obtained. Finally, we explain why the Reidemeister numbers are always infinite for injective endomorphisms of Baumslag-Solitar groups.
Borders and roots of a word