POLYADIC OPERATIONS ON CARTESIAN POWERS OF CONJUGATE GROUP CLASSES
2012jaq | Galmak A.M., Vorobiev G.N., Balan V.D.  // Mogilev State University of Food Technologies, Mogilev, Belarus; University Politehnica of Bucharest, Bucharest, Romania, mgup@mogilev.by, vbalan@mathem.pub.ro

For any l=3, k=2 and any permutation sigma from Sk on the Cartesian power A^k of a group A which admits a normal subgroup B, so that the factor group A/B be cyclic and having its order a divisor of l-1, we define the l-ary group , endowed with the l-ary operation [ ]l,sigma,k. We study the properties of this l-ary operation on Cartesian powers of conjugate group classes of the group A associated to its subgroup B.

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