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arxiv: 1012.2763 · v1 · pith:AYU6M6LLnew · submitted 2010-12-13 · 🧮 math.GR

Generalised triangle groups of type (3,3,2)

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If G is a group with a presentation of the form < x,y|x^3=y^3=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.

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