Elementary divisors of tensor products and p-ranks of binomial matrices
β Scribed by Xiang-Dong Hou
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 159 KB
- Volume
- 374
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
The main result reads: if a nonsingular matrix A of order n = pq is a tensor-product binomial with two factors then the tensor rank of A -1 is bounded from above by min{p, q}.
The elementary divisors of the incidence matrices between points and linear subspaces of fixed dimension in n p are computed. Β© 2000 Academic Press between the associated G-permutation modules which sends an r-subspace to the (formal) sum of the 1-subspaces it contains. This homomorphism has a fini
Let Zm be the ring of integers modulo m. The m-rank of an integer matrix is the largest order of a square submatrix whose determinant is not divisible by m. We determine the probability that a random rectangular matrix over ~Ym has a specified m-rank and, if it is square, a specified determinant. Th