平面Cayley图是有效可图I：相容可平面图
The planar Cayley graphs are effectively enumerable I: consistently planar graphs
摘要：
我们得到了一个有效的计数家庭的有限生成群承认一个忠实的，真正不连续的作用在一些2-流形包含在球。这是通过引入一种准确捕捉这些群体的群体演示来实现的。扩展这在一个配套文件中，我们发现组演示捕捉平面的生成凯莱图。因此，我们得到一个有效的枚举这些凯莱图，产生特别是一个肯定的答案，一个问题的Droms等人。
英文摘要：
We obtain an effective enumeration of the family of finitely generated groups admitting a faithful, properly discontinuous action on some 2-manifold contained in the sphere. This is achieved by introducing a type of group presentation capturing exactly these groups. Extending this in a companion paper, we find group presentations capturing the planar finitely generated Cayley graphs. Thus we obtain an effective enumeration of these Cayley graphs, yielding in particular an affirmative answer to a question of Droms et al.
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。
