论文标题
完美的Prishchepov团体
Perfect Prishchepov groups
论文作者
论文摘要
我们研究了$ \ mathfrak {f} $类型的周期性呈现组，以确定它们何时完美。事实证明，这样做是足以考虑prishchepov群体，因此，在定义整数参数$ r，n，n，k，s，q $方面，我们将一定猜想的一个猜想分类，我们对完美的prishchepov组$ p（r，n，n，k，s，q）$进行了分类。特别是，我们获得了完美的坎贝尔和罗伯逊的fibonacci-type组$ h（r，n，s）$的分类，从而证明了威廉姆斯的猜想，并对$ h（r，n，s）$进行了完整的分类，这些分类$ h（r，n，s）$连接了定向的图形组。
We study cyclically presented groups of type $\mathfrak{F}$ to determine when they are perfect. It turns out that to do so, it is enough to consider the Prishchepov groups, so modulo a certain conjecture, we classify the perfect Prishchepov groups $P(r,n,k,s,q)$ in terms of the defining integer parameters $r,n,k,s,q$. In particular, we obtain a classification of the perfect Campbell and Robertson's Fibonacci-type groups $H(r,n,s)$, thereby proving a conjecture of Williams, and yielding a complete classification of the groups $H(r,n,s)$ that are connected Labelled Oriented Graph groups.
