#### Abstract

Recall that the permanent of an n_n matrix is defined like the determinant, but with all n! terms having positive signs (see [8]). Define the perrank of a matrix A to be the size of the largest square submatrix of A with nonzero permanent. Throughout this paper F denotes a field, p denotes char(F ) and Zp denotes the finite prime field of p elements. All… (More)

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