Generalized primitive elements of a free group
| dc.creator | Shpilrain, Vladimir | |
| dc.date | 1996-05-17 | |
| dc.date.accessioned | 2026-07-07T09:15:31Z | |
| dc.date.available | 2026-07-07T09:15:31Z | |
| dc.description | 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. | |
| dc.description | LaTex file, 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/9605207 | |
| dc.identifier | http://arxiv.org/abs/math/9605207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153044 | |
| dc.subject | Group Theory | |
| dc.title | Generalized primitive elements of a free group | |
| dc.type | text |