构造其特征标度图推广领结图的可解群
Constructing solvable groups whose character degree graphs generalize the bowtie
AI总结：
该研究构造具有领结形状特征标度图的有限可解群，其广义构造的图无法由小图直积得到，n=1时还原原始领结图，还给出了生成更多顶点图的素数示例。
AI中文摘要：
我们在此给出有限可解群的一种广义构造，其素数特征标度图具有领结图的形状与结构。与原始领结图类似，该广义构造得到的图在特定限制下，无法通过取较小图直积的常规方法实现。在n=1的条件下，我们证明此构造可还原出具有5个顶点的原始领结图，还提供了生成更多顶点图的素数示例及明确选择。
英文摘要：
We present here a generalized construction of a finite solvable group whose prime character degree graph has the shape and structure of the bowtie graph. As with the original bowtie, the graphs obtained by this generalized construction, under certain restrictions, cannot be realized by the usual method of taking direct products of smaller graphs. Within the condition of $n=1$, we show how this recovers the original bowtie graph, which has five vertices. We also provide examples and explicit choices of primes which generate graphs with more vertices.
