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18
votes
Accepted
Sets that are not sum of subsets
Related questions are discussed in
Antoniou and T., On the Arithmetic of Power Monoids and Sumsets in Cyclic Groups, Pacific J. …
6
votes
sum-sets in a finite field
I first learned about this problem from Éric Balandraud (in 2013). So I wrote to him a couple of days ago, and he has just sent me an e-mail explaining that the question dates back (at least) to 1971. …
2
votes
0
answers
137
views
The set of lengths of $nX$ gets larger and larger for every non-zero, non-empty, finite $X \...
Let $H$ be a multiplicatively written monoid with identity $1_H$. Given $x \in H$, we take ${\sf L}_H(x) := \{0\}$ if $x = 1_H$; otherwise, ${\sf L}_H(x)$ is the set of all $k \in \mathbf N^+$ for whi …