The minimally displaced set of an irreducible automorphism is locally finite
We prove that the minimally displaced set of a relatively irreducible automorphism of a free splitting, situated in a deformation space, is uniformly locally finite. The minimally displaced set coincides with the train track points for an irreducible automorphism. We develop the theory in a general...
| Permalink: | http://skupni.nsk.hr/Record/nsk.NSK01001098330/Details |
|---|---|
| Matična publikacija: |
Glasnik matematički (Online) 55 (2020), 2 ; str. 301-336 |
| Glavni autori: | Francaviglia, Stefano (Author), Martino, Armando, Syrigos, Dionysios |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.55.2.09 Hrčak |
| LEADER | 01922naa a22003494i 4500 | ||
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| 001 | NSK01001098330 | ||
| 003 | HR-ZaNSK | ||
| 005 | 20210607150442.0 | ||
| 006 | m d | ||
| 007 | cr|||||||||||| | ||
| 008 | 210420s2020 ci |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.3336/gm.55.2.09 | |
| 035 | |a (HR-ZaNSK)001098330 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 041 | 0 | |a eng |b eng | |
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Francaviglia, Stefano |4 aut |9 HR-ZaNSK | |
| 245 | 1 | 4 | |a The minimally displaced set of an irreducible automorphism is locally finite |h [Elektronička građa] / |c Stefano Francaviglia, Armando Martino, Dionysios Syrigos. |
| 504 | |a Bibliografske bilješke na kraju teksta. | ||
| 504 | |a Abstract. | ||
| 520 | |a We prove that the minimally displaced set of a relatively irreducible automorphism of a free splitting, situated in a deformation space, is uniformly locally finite. The minimally displaced set coincides with the train track points for an irreducible automorphism. We develop the theory in a general setting of deformation spaces of free products, having in mind the study of the action of reducible automorphisms of a free group on the simplicial bordification of Outer Space. For instance, a reducible automorphism will have invariant free factors, act on the corresponding stratum of the bordification, and in that deformation space it may be irreducible (sometimes this is referred as relative irreducibility). | ||
| 653 | 0 | |a Automorfizam |a Relativni prostor | |
| 700 | 1 | |a Martino, Armando |4 aut |9 HR-ZaNSK | |
| 700 | 1 | |a Syrigos, Dionysios |4 aut |9 HR-ZaNSK | |
| 773 | 0 | |t Glasnik matematički (Online) |x 1846-7989 |g 55 (2020), 2 ; str. 301-336 |w nsk.(HR-ZaNSK)000659858 | |
| 981 | |b Be2020 |b B03/20 | ||
| 998 | |b tino2106 | ||
| 856 | 4 | 0 | |u https://doi.org/10.3336/gm.55.2.09 |
| 856 | 4 | 0 | |u https://hrcak.srce.hr/248669 |y Hrčak |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |