Generalised triangle groups of type (3,5,2)
classification
🧮 math.GR
keywords
additionalconjecturecontainseitherevidencefavourformfree
read the original abstract
If G is a group with a presentation of the form < x,y|x^3=y^5=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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