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Questions about the branch of algebra that deals with groups.

1 vote

Minimal size of subsets $A,B$ in a finite group $G$ such that $AB=G$

In general, one expects to need $N\log N$ "random" products to cover a set of size $N$, by coupon collecting analysis. So my intuition is that you need more than just $\sqrt N$ elements in the sets $A …
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