We study the minimally displaced set of irreducible automorphisms of a free group. Our main result is the co-compactness of the minimally displaced set of an irreducible automorphism with exponential growth ϕ, under the action of the centraliser C(ϕ). As a corollary, we get that the same holds for the action of < ϕ> on Min(ϕ). Finally, we prove that the minimally displaced set of an irreducible automorphism of growth rate one consists of a single point.
The minimally displaced set of an irreducible automorphism of FN is co-compact / Francaviglia S.; Martino A.; Syrigos D.. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - STAMPA. - 116:4(2021), pp. 369-383. [10.1007/s00013-021-01579-z]
The minimally displaced set of an irreducible automorphism of FN is co-compact
Francaviglia S.
;
2021
Abstract
We study the minimally displaced set of irreducible automorphisms of a free group. Our main result is the co-compactness of the minimally displaced set of an irreducible automorphism with exponential growth ϕ, under the action of the centraliser C(ϕ). As a corollary, we get that the same holds for the action of < ϕ> on Min(ϕ). Finally, we prove that the minimally displaced set of an irreducible automorphism of growth rate one consists of a single point.| File | Dimensione | Formato | |
|---|---|---|---|
|
cocpt_published_online.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione
368.88 kB
Formato
Adobe PDF
|
368.88 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
