منابع مشابه
Permutations Destroying Arithmetic Structure
Given a linear form C1X1 + · · · + CnXn, with coefficients in the integers, we characterize exactly the countably infinite abelian groups G for which there exists a permutation f that maps all solutions (α1, . . . , αn) ∈ Gn (with the αi not all equal) to the equation C1X1+ · · ·+CnXn = 0 to non-solutions. This generalises a result of Hegarty about permutations of an abelian group avoiding arit...
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ژورنال
عنوان ژورنال: Scientific American
سال: 1896
ISSN: 0036-8733
DOI: 10.1038/scientificamerican06271896-408a