Abstract
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.
Original language | English |
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Pages (from-to) | 1-18 |
Number of pages | 18 |
Journal | Algebra and Discrete Mathematics |
Volume | 15 |
Issue number | 1 |
Publication status | Published - Jan 2013 |
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Generalised triangle groups of type (3, q, 2). / Howie, James.
In: Algebra and Discrete Mathematics, Vol. 15, No. 1, 01.2013, p. 1-18.Research output: Contribution to journal › Article
TY - JOUR
T1 - Generalised triangle groups of type (3, q, 2)
AU - Howie, James
PY - 2013/1
Y1 - 2013/1
N2 - 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.
AB - 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.
M3 - Article
VL - 15
SP - 1
EP - 18
JO - Algebra and Discrete Mathematics
JF - Algebra and Discrete Mathematics
SN - 1726-3255
IS - 1
ER -