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Generalised triangle groups of type (3,5,2)

Published 10 Feb 2011 in math.GR | (1102.2073v1)

Abstract: If G is a group with a presentation of the form < x,y|x3=y5=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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