论文标题
组中的添加剂组合学和球体上的几何组合学
Additive Combinatorics in Groups and Geometric Combinatorics on Spheres
论文作者
论文摘要
我们踏上了一次巡回演出，该旅行带领我们介绍了四个密切相关的主题：独立的双重概念和有限的阿贝尔群体，以及在球体上设计和距离的类似双重概念。我们回顾了每个领域的一些主要结果，提及几个开放问题，并讨论了这四个有趣的主题之间的一些联系。
We embark on a tour that takes us through four closely related topics: the dual concepts of independence and spanning in finite abelian groups and the analogous dual concepts of designs and distance sets on spheres. We review some of the main known results in each area, mention several open questions, and discuss some connections among these four interesting topics.
