A just-infinite iterated monodromy group without the congruence subgroup property
Abstract
Abstract We prove that the iterated monodromy group of the polynomial z 2 + i z^{2}+i is just-infinite, regular branch and does not have the congruence subgroup property. This yields the first example of an iterated monodromy group of a polynomial with these properties. Additional information is provided about the congruence kernel, rigid kernel and branch kernel of this group.
Fields of Study & Subjects
advanced mathematical theories
Geometric and Algebraic Topology
Advanced Algebra and Geometry
Publication details
- Journal / source
- Journal of Group Theory
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 15 July 2026
- Language
- EN