1
University Of Nizwa, Sultanate Of Oman
(Vonshtawzen1970abc@gmail.com)
Abstract :
This paper is devoted to defining a new generalization of m-power closed groups by using some special mappings defined on a group (power maps). Also, a new group will be presented according to these mappings which will be related to other algebraic structures.
Keywords :
Power map; m-power closed group; integer exponent; MA-group
References :
[1] Abobala, M. and Sankari, H. A Contribution to (m-Power Closed) Groups, UMM Al-Qura University Journal of Applied Science (UQUJAS), KSA, (2020).
[2] Levi, F. Notes on Group Theory, J. Indian Math. Soc. 8, (1944), pp.1-7.
[3] Kappe, L. and Ying, Y. On Exact Power Margin Groups, Rend. Sem. Mat. University of Padova. Vol. 87, (1992), pp.245-265.
[4] Haushi, M. The Algebraic Structures 1, Tishreen University Press, (2004).
[5] Rotman, Joseph J. An introduction to the theory of groups. Fourth edition. Graduate Texts in Mathematics, 148. Springer-Verlag, New York, 1995.
[6] Arad, Z. and Ward, M. New Criteria for the Solvability of Finite Groups, Journal of Algebra, 77, (1982), pp. 234-246.
[7] Dolfi, S. Guralnik, R. Herzog, M. and Praeger, C. A New Solvability Criterion for Finite Groups, ArXiv:1007.5394, (2011).
[8] Sankari, H., and Abobala, M., On A New Criteria For the Solvability of Non-Simple Finite Groups and m-Abelian Solvability, Journal of Mathematics, Hindawi, 2021.
[9] Hatip, A., Alhamido, R., and Abobala, M., "A Contribution to Neutrosophic Groups", International Journal of Neutrosophic Science", Vol. 0, pp. 67-76. 2019.
[10] Abobala, M., " n-Refined Neutrosophic Groups I", International Journal of Neutrosophic Science, Vol. 0, pp. 27-34. 2020.
| Style | # |
|---|---|
| MLA | Oliver V. Shtawzen. "On A Novel Group Derived From a Generalization of Integer Exponents and Open Problems." Galoitica: Journal of Mathematical Structures and Applications, Vol. 1, No. 1, 2022 ,PP. 12-35 (Doi : https://doi.org/10.54216/GJMSA.010102) |
| APA | Oliver V. Shtawzen. (2022). On A Novel Group Derived From a Generalization of Integer Exponents and Open Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 ( 1 ), 12-35 (Doi : https://doi.org/10.54216/GJMSA.010102) |
| Chicago | Oliver V. Shtawzen. "On A Novel Group Derived From a Generalization of Integer Exponents and Open Problems." Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 no. 1 (2022): 12-35 (Doi : https://doi.org/10.54216/GJMSA.010102) |
| Harvard | Oliver V. Shtawzen. (2022). On A Novel Group Derived From a Generalization of Integer Exponents and Open Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 ( 1 ), 12-35 (Doi : https://doi.org/10.54216/GJMSA.010102) |
| Vancouver | Oliver V. Shtawzen. On A Novel Group Derived From a Generalization of Integer Exponents and Open Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2022); 1 ( 1 ): 12-35 (Doi : https://doi.org/10.54216/GJMSA.010102) |
| IEEE | Oliver V. Shtawzen, On A Novel Group Derived From a Generalization of Integer Exponents and Open Problems, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 1 , No. 1 , (2022) : 12-35 (Doi : https://doi.org/10.54216/GJMSA.010102) |