Titlebook: Combinatorial and Additive Number Theory II; CANT, New York, NY, Melvyn B. Nathanson Conference proceedings 2017 Springer International Pu

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https://doi.org/10.1007/978-981-16-9657-2 in progression with any of the previous elements. Rankin characterized the greedy geometric-progression-free set in terms of the greedy arithmetic set. We characterize the greedy exponential set and prove that it has asymptotic density 1 and then discuss how the optimality of the greedy set depends

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Open Problems About Sumsets in Finite Abelian Groups: Minimum Sizes and Critical Numbers,mset of ., respectively. Here we review some of what is known and not yet known about the minimum sizes of these three types of sumsets, as well as their corresponding critical numbers. In particular, we discuss several new open direct and inverse problems.

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