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Groups Complexity Cryptology

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Editorial Board Member: Blackburn, Simon R. / Conder, Marston / Dehornoy, Patrick / Eick, Bettina / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Roman'kov, Vitalii / Rosenberger, Gerhard / Sapir, Mark / Schäge, Sven / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura

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On Shephard groups with large triangles

Uri Weiss
  • Mathematics Department Technion - Israel Institute of Technology 32000 Haifa, Israel. E-mail:
Published Online: 2010-06-23 | DOI: https://doi.org/10.1515/gcc.2010.001


Shephard groups are common extensions of Artin and Coxeter groups. They appear, for example, in algebraic study of manifolds. An infinite family of Shephard groups which are not Artin or Coxeter groups is considered. Using techniques form small cancellation theory we show that the groups in this family are bi-automatic.

Keywords.: Biautomaticity; small-cancellation; van Kampen diagrams; derived diagrams

About the article

Received: 2009-05-18

Published Online: 2010-06-23

Published in Print: 2010-06-01

Citation Information: Groups – Complexity – Cryptology, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/gcc.2010.001. Export Citation

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