Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Maxmal Order of NG-Transformation Group

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 Group. Preprints 2020, 2020100068 (doi: 10.20944/preprints202010.0068.v2). Abdunabi, F. Maxmal Order of NG-Transformation Group. Preprints 2020, 2020100068 (doi: 10.20944/preprints202010.0068.v2).

Abstract

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.

Subject Areas

Ng group; permutation group

Comments (1)

Comment 1
Received: 20 October 2020
Commenter: Faraj Abdunabi
Commenter's Conflict of Interests: Author
Comment: Maximal order of NG-Transformation group
+ Respond to this comment

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 1
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.