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

Mathematics – Group Theory

Scientific paper

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19 pages, 4 figures, 2 tables, GAP code listing attached

Scientific paper

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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