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Journal of Generalized Lie Theory and Applications

Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Maximal Order of NG-Transformation Group

Abstract

Faraj A. Abdunbai

In this paper, we consider the problem that the maximal order considers the groups that consist of transformations we called NG-Transformation on a nonempty set
A has no bijection as its element. We found that the order of these groups is not greater than (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.

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