Additive Combinatorics in Groups and Geometric Combinatorics on Spheres

Bela Bajnok

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arXiv · 2211.01890

Additive Combinatorics in Groups and Geometric Combinatorics on Spheres

Bela Bajnok

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Abstract

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.

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Bela Bajnok. 2022-11-03. Additive Combinatorics in Groups and Geometric Combinatorics on Spheres. https://arxiv.org/abs/2211.01890

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