Geodesic
Maximal groups of invariant transformations of multiaffine, bijunctive, weakly positive, and weakly negative Boolean functions
Diskretnaya Matematika, Tome 21 (2009) no. 2, pp. 94-101

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We investigate some properties of multiaffine, bijunctive, weakly positive and weakly negative Boolean functions. The following results are proved: for any integer $k\ge1$ the maximal group of transformations of the domain of definition of a function of $k$ variables with respect to which the set of multiaffine Boolean functions is invariant is the complete affine group $AGL(k,2)$; for the bijunctive functions of $k\ge3$ variables it is the group of transformations each of which is a combination of a permutation and an inversion of the variables of the function; and for a weakly positive (weakly negative) function of $k\ge2$ variables it is the group of transformations each of which is a permutation of the variables of the function. 
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     author = {S. P. Gorshkov and A. V. Tarasov},
     title = {Maximal groups of invariant transformations of multiaffine, bijunctive, weakly positive, and weakly negative {Boolean} functions},
     journal = {Diskretnaya Matematika},
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     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2009_21_2_a5/}
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S. P. Gorshkov; A. V. Tarasov. Maximal groups of invariant transformations of multiaffine, bijunctive, weakly positive, and weakly negative Boolean functions. Diskretnaya Matematika, Tome 21 (2009) no. 2, pp. 94-101. http://geodesic.mathdoc.fr/item/DM_2009_21_2_a5/