$p$ -Origamis
Strata of $p$-Origamis
摘要：
给定一个素数幂阶的二元生成群，研究了其甲板群作用传递且同构于给定群的折纸的奇异性。几何和群论的思想被用来分类可能的阶层，这取决于素数幂阶。然后，我们表明，对于许多有趣的已知家庭的两个生成组的素数幂阶，包括所有的定期，或强大的，或那些最大的类，每个组只承认一个可能的阶层。然而，我们也构造了两个生成的素数幂阶群的例子，它们并不确定一个唯一的阶层。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
