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arXiv · 2201.12860

The Addition theorem for two-step nilpotent torsion groups

Menachem Shlossberg
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Abstract

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.

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Menachem Shlossberg. 2022-01-30. The Addition theorem for two-step nilpotent torsion groups. https://arxiv.org/abs/2201.12860

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