Перегляд за автором "Howie, J."

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  • Generalised triangle groups of type (3, q, 2) 
    Howie, J. (Algebra and Discrete Mathematics, 2013)
    If G is a group with a presentation of the form ⟨x, y|x³ = yq = W(x, y)² = 1⟩, then either G is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence in favour of a conjecture of Rosenberger.
  • The Tits alternative for generalized triangle groups of type (3,4,2) 
    Howie, J.; Williams, G. (Algebra and Discrete Mathematics, 2008)
    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⟩. ...