2022/01/30 by Menachem Shlossberg, Shlossberg, Menachem
Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2201.12860
openalex publication_date 2022/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Addition Theorem for the algebraic entropy of group endomorphisms of torsion abelian groups was proved in [4]. Later, this result was extended to all abelian groups [3] and, recently, to all torsion finitely quasihamiltonian groups [7]. In contrast, when it comes to metabelian groups, the additivity of the algebraic entropy fails [8]. Continuing the research within the class of locally finite groups, we prove that the Addition Theorem holds for two-step nilpotent torsion groups.