论文标题

几乎2类Nilpotent组中的方程式

Equations in virtually class 2 nilpotent groups

论文作者

Levine, Alex

论文摘要

我们给出了一种算法,该算法决定了一个几乎是$ 2 $ nilpotent组的组中的单个方程式,该组几乎是循环换向器子组(例如Heisenberg group)承认的解决方案。这将杜钦,梁和夏皮罗的工作概括为有限的扩展。

We give an algorithm that decides whether a single equation in a group that is virtually a class $2$ nilpotent group with a virtually cyclic commutator subgroup, such as the Heisenberg group, admits a solution. This generalises the work of Duchin, Liang and Shapiro to finite extensions.

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