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Algorithms for Finite Near-rings and their N-groups

In this note, we present algorithms to deal with finite near-rings, the appropriate algebraic structure to study non-linear functions on finite groups. Just as rings (of matrices) operate on vector spaces, near-rings operate on groups. In our approach, we have developed efficient algorithms for a variety of problems that involve the structure of the operation of a near-ring on a group. From this, we retrieve information about the near-ring itself.