论文标题
$ p $ -origamis的地层
Strata of $p$-Origamis
论文作者
论文摘要
鉴于一组两组的主要功率秩序，我们研究了折纸的奇异性，其甲板群的运转性能，对给定组是同构的。根据主要功率顺序，使用几何和群体理论思想来对可能的阶层进行分类。然后，我们表明，对于许多有趣的主要命令群的知名家庭，包括所有常规或强大的秩序，或最大阶级的阶层，每个小组只承认一个可能的阶层。但是，我们还构建了两个生成的主要功率顺序的示例，这些命令并不决定唯一的层。
Given a two-generated group of prime-power order, we investigate the singularities of origamis whose deck group acts transitively and is isomorphic to the given group. Geometric and group-theoretic ideas are used to classify the possible strata, depending on the prime-power order. We then show that for many interesting known families of two-generated groups of prime-power order, including all regular, or powerful ones, or those of maximal class, each group admits only one possible stratum. However, we also construct examples of two-generated groups of prime-power order which do not determine a unique stratum.
