This research completes the understanding of arboreal Galois groups for strictly preperiodic critical points in quadratic polynomials, indicating their significant mathematical structure.
In [BGJT25b], we provided an explicit description of the arboreal Galois group of the postcritically finite polynomial f (z) = z 2 + c in the special case when the critical point 0 is periodic under the action of f (z).In the current paper, we complete the picture for all postcritically finite polynomials by addressing the cases when 0 is strictly preperiodic for the polynomial f (z).
No takes yet. Share an insight, caveat, or question.
Benedetto et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: