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Invariant factors of combinatorial matrices

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Abstract

The Smith normal forms of an Hadamard matrix of order 4m (m square-free), and of the incidence matrix of a (ν, k, λ) configuration (n=k−λ square-free (n, λ)=1), are determined.

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References

  1. C. C. Macduffee,The theory of matrices, Reprint of first edition, Chelsea, New York, 1964.

  2. M. Newman,On the Smith normal form, To appear.

  3. W. D. Wallis andJ. Wallis,Equivalence of Hadamard matrices, Israel J. Math.7 (1969), 122–128.

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Newman, M. Invariant factors of combinatorial matrices. Israel J. Math. 10, 126–130 (1971). https://doi.org/10.1007/BF02771523

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  • DOI: https://doi.org/10.1007/BF02771523

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