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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 is concise in a class of groups if, for every group in , the verbal subgroup is finite whenever takes only finitely many values…