Jan Moritz Petschick

activity

20242026

collaborators

4 papers

math.GR2026

Representation zeta functions of split extensions of $S L_{2}^{m} (O)$

J. Moritz Petschick, Margherita Piccolo

We consider the representation growth of split extensions of $S L_{2}^{m} (O)$ . We prove that the corresponding representation zeta functions factor as a product of the representation ze…

math.GR2025

Branch groups with many maximal subgroups

J. Moritz Petschick

This article presents the construction of finitely generated branch groups with uncountably many maximal subgroups using embedding techniques. This addresses a question posed by Gr…

math.GR2025

Conciseness of first-order formulae

Martina Conte, Jan Moritz Petschick

A word $w$ is concise in a class of groups $C$ if, for every group $G$ in $C$ , the verbal subgroup $w (G)$ is finite whenever $w$ takes only finitely many values…

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 $M F$ of groups with all maximal…

Representation zeta functions of split extensions of SL2m​(O)

Branch groups with many maximal subgroups

Conciseness of first-order formulae

Maximal subgroups in torsion branch groups

Representation zeta functions of split extensions of $S L_{2}^{m} (O)$