Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Maxmal Order of NG-Transformation

Version 1 : Received: 3 October 2020 / Approved: 5 October 2020 / Online: 5 October 2020 (10:58:12 CEST)
Version 2 : Received: 19 October 2020 / Approved: 20 October 2020 / Online: 20 October 2020 (11:36:51 CEST)

How to cite: Abdunabi, F. Maxmal Order of NG-Transformation. Preprints 2020, 2020100068. Abdunabi, F. Maxmal Order of NG-Transformation. Preprints 2020, 2020100068.


In this paper, we consider the problem that the maximal order consider the groups that consisting of transformations we called NG-Transformation on a nonempty set A has no bijection as its element. We find the order of these groups not greater that (n-1)!. In addition, we will prove our result by showing that any kind of NG-group in the theorem be isomorphic to a permutation group on a quotient set of A with respect to an equivalence relation on A.


Ng group; permutation group


Computer Science and Mathematics, Algebra and Number Theory

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