Israel Journal of Mathematics

, Volume 10, Issue 1, pp 126–130 | Cite as

Invariant factors of combinatorial matrices

  • Morris Newman


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.


Projective Plane National Bureau Incidence Matrix Short Proof Invariant Factor 
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  1. 1.
    C. C. Macduffee,The theory of matrices, Reprint of first edition, Chelsea, New York, 1964.Google Scholar
  2. 2.
    M. Newman,On the Smith normal form, To appear.Google Scholar
  3. 3.
    W. D. Wallis andJ. Wallis,Equivalence of Hadamard matrices, Israel J. Math.7 (1969), 122–128.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© The Weizmann Science Press of Israel 1971

Authors and Affiliations

  • Morris Newman
    • 1
  1. 1.National Bureau of StandardsWashington, D. C.

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