%0 Journal Article %T Representation of direct product of permutation groups as symmetry groups of boolean functions %A Pawe Jasionowski %J Theoretical and Applied Informatics %D 2012 %I Polish Academy of Sciences %R 10.2478/v10179-012-0006-3 %X We consider boolean functions invariance groups S( ) and some special kinds of boolean functions. We construct a k valued boolean function which represent a direct product of two permutation groups and give an upper bound of k. Moreover we show that in some cases we can construct 2 valued boolean function which represent this product. %U http://versita.metapress.com/content/ph8q04003g52t803/?p=2a758448354f4a47a0c4592ab746d2d9&pi=1