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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., Ser. 1, 2006 Volume 13, Issue 4, Pages 26–32 (Mi da9)

This article is cited in 5 papers

On the weak isometries of the Boolean cube

V. Yu. Krasin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: The $p$-weak isometries of the Boolean cube are considered, i.e., the mappings of the cube onto itself which preserve a fixed distance $p$. Some necessary and sufficient conditions are obtained for coincidence of the group of $p$-weak isometries with the group of standard isometries (automorphisms of the cube).


 English version:
Journal of Applied and Industrial Mathematics, 2007, 1:4, 463–467

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