Polymatroids are to finite groups as matroids are to finite fields

Ed Swartz, Prairie Wentworth-Nice, Alexander Xue

Given a subgroup $\mathcal{H}$ of a product of finite groups $\mathcal{G}=\prod _{i=1}^n{\Gamma }_i$ and $b>1,$ we define a polymatroid $P(\mathcal{H},b).$ If all of the $Γ_…