Largeness of LERF and 1-relator groups

Details Largeness of LERF and 1-relator groups Largeness of LERF and 1-relator groups

2008-03-26

arxiv.org/abs/0803.3805v1

Mathematics

Group Theory

33 pages; contains a problem list on pages 22 to 28

Scientific paper

We consider largeness of groups given by a presentation of deficiency 1, where the group is respectively free-by-cyclic, LERF or 1-relator. We give the first examples of (finitely generated free)-by-(infinite cyclic) word hyperbolic groups which are large, show that a LERF deficiency 1 group with first Betti number at least 2 is large or the integers times the integers, and show that 2-generator 1-relator groups where the relator has height 1 obey the dichotomy that either the group is large or all its finite images are metacyclic.

Affiliated with

Also associated with

No associations

Rating

Largeness of LERF and 1-relator groups 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 Largeness of LERF and 1-relator groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Largeness of LERF and 1-relator groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-353205