# sumset

Let $A_{1},A_{2},\ldots,A_{n}$ be subsets of an additive group $G$. The sumset

 $A_{1}+A_{2}+\cdots+A_{n}$

is the set of all elements of the form $a_{1}+a_{2}+\cdots+a_{n}$, where $a_{i}\in A_{i}$.

In geometry a sumset is often called Minkowski sum.

Title sumset Sumset 2013-03-22 13:19:14 2013-03-22 13:19:14 bbukh (348) bbukh (348) 5 bbukh (348) Definition msc 11B13 msc 11B05 Minkowski sum MinkowskiSum2