The Tits alternative for generalized triangle groups of type (3,4,2)

Details The Tits alternative for generalized triangle groups of type (3,4,2) The Tits alternative for generalized triangle groups of type (3,4,2)

2006-03-29

arxiv.org/abs/math/0603682v1

Algebra and Discrete Mathematics No. 4 (2008), 40-48

Mathematics

Group Theory

8 pages

Scientific paper

A generalized triangle group is a group that can be presented in the form $G = < x,y | x^p=y^q=w(x,y)^r=1>$, where $p,q,r\geq 2$ and $w(x,y)$ is a cyclically reduced word of length at least 2 in the free product $\Z_p*\Z_q=< x,y | x^p=y^q=1>$. Rosenberger has conjectured that every generalized triangle group $G$ satisfies the Tits alternative. It is known that the conjecture holds except possibly when the triple $(p,q,r)$ is one of $(2,3,2), (2,4,2),(2,5,2),(3,3,2),(3,4,2)$, or $(3,5,2)$. In this paper we show that the Tits alternative holds in the case $(p,q,r)=(3,4,2)$.

Affiliated with

Also associated with

No associations

Rating

The Tits alternative for generalized triangle groups of type (3,4,2) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Tits alternative for generalized triangle groups of type (3,4,2), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Tits alternative for generalized triangle groups of type (3,4,2) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-586359