Central Quotients of Biautomatic Groups

  title={Central Quotients of Biautomatic Groups},
  author={Lee Mosher},
The quotient of a biautomatic group by a subgroup of the center is shown to be biautomatic. The main tool used is the Neumann-Shapiro triangulation of S, associated to a biautomatic structure on Zn. As an application, direct factors of biautomatic groups are shown to be biautomatic. Biautomatic groups form a wide class of finitely presented groups with interesting geometric and computational properties. These groups include all word hyperbolic groups, all fundamental groups of finite volume… CONTINUE READING
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Géométrie et théorie des groupes

  • M. Coornaert, T. Delzant, A. Papadopoulos
  • LNM 1441, Springer-Verlag
  • 1990

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