Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator

Details Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator

2010-10-20

arxiv.org/abs/1010.4220v3

Mathematics

Group Theory

11 pages. A Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm V3: rev

Scientific paper

10.1016/j.jpaa.2011.06.020

A group obtained from a nontrivial group by adding one generator and one relator which is a proper power of a word in which the exponent-sum of the additional generator is one contains the free square of the initial group and almost always (with one obvious exception) contains a non-abelian free subgroup. If the initial group is involution-free or the relator is at least third power, then the obtained group is SQ-universal and relatively hyperbolic with respect to the initial group.

Affiliated with

Also associated with

No associations

Rating

Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator 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 Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-717299