论文标题
两步Nilpotent扭转组的添加定理
The Addition theorem for two-step nilpotent torsion groups
论文作者
论文摘要
在[4]中证明了扭转扭转的阿贝尔组的组内态代数熵的添加定理。后来，该结果扩展到所有阿贝尔群体[3]，最近将所有扭转有限地扩展到了quasihamiltonian群体[7]。相比之下，当涉及到化学群体时，代数熵的添加性失败[8]。继续在本地有限群体的类别中进行研究，我们证明该定理适用于两步的Nilpotent扭转组。
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.
