3 papers
math.LO2026
A radical answer to a question by Robinson
Blaise Boissonneau, Mikel E. Garciarena, Immanuel Halupczok
We study the ring of Puiseux polynomials with integer coefficients. We prove notably that the order given by the leading coefficient is definable without parameters in the language…
math.GR2024
On the lower central series of a large family of non-periodic GGS-groups
Gustavo A. Fernández-Alcober, Mikel E. Garciarena, Marialaura Noce
For an odd prime , we determine the lower central series of a large family of non-periodic GGS-groups, which has a density of roughly within all GGS-groups.…
math.GR2024
Maximal subgroups in torsion branch groups
Mikel Eguzki Garciarena, J. Moritz Petschick
We study the maximal subgroups of branch groups and obtain a criterion that ensures that certain spinal groups are contained in the class of groups with all maximal…