Multiplically independent word systems

Tressler's Theorem states that the long-standing Hadamard conjecture (concerning the existence of n by n orthogonal matrices with elements of the same absolute value, for n=4k, k=1,2,...) will be settled if we find n-2 pairwise orthogonal words in a hyperplane of words. In this paper we will prove the counterpart of Tressler's Theorem: the existence of n-2 multiplically independent words in a hyperplane of words.


Unpublished, Operations Research Report 2011-02, Eötvös Loránd University, Budapest, September 2011.



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