3 papers
math.DS2025
On the centralizers of endomorphisms of the projective line
Alonso Beaumont
Let be a dominant endomorphism of the projective line, which is not conjugate to a power map . We consider the centralizers of the iterates of , $C(f^{n}…
math.NT2025
A uniform Tits alternative for endomorphisms of the projective line
Alonso Beaumont
A recent article of J.P. Bell, K. Huang, W. Peng and T.J. Tucker establishes an analog of the Tits alternative for semigroups of endomorphisms of the projective line. The proof inv…
math.GR2025
On the Nilpotency of Locally Pro-p Contraction Groups
Alonso Beaumont
H. Glöckner and G. A. Willis have recently shown that locally pro-p contraction groups are nilpotent. The proof hinges on a fixed-point result: if the local field $\mathbb{F}_{p}(…