Neutrosophic Extended Triplet Group Action and Burnside’s Lemma

Authors

  • Moges Mekonnen Shalla Department of Mathematics, Gaziantep University, Gaziantep 27310, Turkey
  • Necati Olgun Department of Mathematic Education, Gaziantep University, Gaziantep, Turkey

Keywords:

NET group action, NET orbit, NET stabilizer, NET conjugate, Burnside’s lemma, NET fixed points, The fundamental theorem about NET group action

Abstract

The aim of this article is mainly to discuss the neutrosophic extended triplet (NET) group actions and Burnside’s lemma of NET group. We introduce NET orbits, stabilizers, conjugates and NET group action. Then, we give and proof the Orbit stabilizer formula for NET group by utilizing the notion of NET set theory. Moreover, some results related to NET group action, and Burnside’s lemma are obtained.

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Published

2019-12-10

Issue

Vol. 30 (2019): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Mekonnen Shalla, M. ., & Olgun, N. . (2019). Neutrosophic Extended Triplet Group Action and Burnside’s Lemma. Neutrosophic Sets and Systems, 30, 44-69. https://fs.unm.edu/nss8/index.php/111/article/view/334