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Smith Normal Form for block matrixmatrices over the integers

areAre there any known results on the smith normal formSmith Normal Form for block matrices over the integers? In

In particular, I am interested in matrices of size (kr)x(ks)$kr \times ks$ made of square blocks of size k$k$ such that each block has one 1$1$ and one -1$-1$ in each row and columnscolumn and the rest are zeros. This is for computing the cohomology of a certain chain complex.

Smith Normal Form for block matrix

are there any known results on the smith normal form for block matrices over the integers? In particular I am interested in matrices of size (kr)x(ks) made of square blocks of size k such that each block has one 1 and one -1 in each row and columns and the rest are zeros. This is for computing the cohomology of a certain chain complex.

Smith Normal Form for block matrices over the integers

Are there any known results on the Smith Normal Form for block matrices over the integers?

In particular, I am interested in matrices of size $kr \times ks$ made of square blocks of size $k$ such that each block has one $1$ and one $-1$ in each row and column and the rest are zeros. This is for computing the cohomology of a certain chain complex.

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Smith Normal Form for block matrix

are there any known results on the smith normal form for block matrices over the integers? In particular I am interested in matrices of size (kr)x(ks) made of square blocks of size k such that each block has one 1 and one -1 in each row and columns and the rest are zeros. This is for computing the cohomology of a certain chain complex.