The Tits alternative for generalized triangle groups of type (3,4,2)

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Authors: Howie, J., Williams, G.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153357
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Tits alternative for generalized triangle groups of type (3,4,2) / J. Howie, G. Williams // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 40–48. — Бібліогр.: 16 назв. — англ.

A generalized triangle group is a group that can be presented in the form G=⟨x,y |xp=yq=w(x,y)r=1⟩ where p,q,r≥2 and w(x,y) is a cyclically reduced word of length at least 2 in the free product Zp∗Zq=⟨x,y |xp=yq=1⟩. Rosenberger has conjectured that every generalized triangle group G satisfies the Ti...