On the linearity of the holomorph group of a free group on two generators

Details On the linearity of the holomorph group of a free group on two generators On the linearity of the holomorph group of a free group on two generators

2009-05-03

arxiv.org/abs/0905.0295v1

Mathematics

Group Theory

Scientific paper

Let F_n denote the free group generated by n letters. The purpose of this article is to show that Hol(F_2), the holomorph of the free group on two generators, is linear. Consequently, any split group extension of F_2 by a linear group H is linear. This result gives a large linear subgroup of Aut(F_3). A second application is that the mapping class group for genus one surfaces with two punctures is linear.

Affiliated with

Also associated with

No associations

Rating

On the linearity of the holomorph group of a free group on two generators 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 On the linearity of the holomorph group of a free group on two generators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the linearity of the holomorph group of a free group on two generators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-198913