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Preserved in Portico This version is not peer-reviewed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)
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. https://doi.org/10.20944/preprints202010.0068.v2 Abdunabi, F. Maxmal Order of NG-Transformation Group. Preprints 2020, 2020100068. https://doi.org/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.
Keywords
Ng group; permutation group
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (1)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
Commenter: Faraj Abdunabi
Commenter's Conflict of Interests: Author