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.
|Number of pages||18|
|Journal||Algebra and Discrete Mathematics|
|Publication status||Published - Jan 2013|