Generalized primitive elements of a free group

Details Generalized primitive elements of a free group Generalized primitive elements of a free group

1996-05-17

arxiv.org/abs/math/9605207v1

Mathematics

Group Theory

LaTex file, 9 pages

Scientific paper

We study endomorphisms of a free group of finite rank by means of their action on specific sets of elements. In particular, we prove that every endomorphism of the free group of rank 2 which preserves an automorphic orbit (i.e., acts ``like an automorphism" on one particular orbit), is itself an automorphism. Then, we consider elements of a different nature, defined by means of homological properties of the corresponding one-relator group. These elements (``generalized primitive elements"), interesting in their own right, can also be used for distinguishing automorphisms among arbitrary endomorphisms.

Affiliated with

Also associated with

No associations

Rating

Generalized primitive elements of a free group 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 Generalized primitive elements of a free group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized primitive elements of a free group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-458472