Volume 1 • Issue 1 • PP: 12-35 • 2022
On A Novel Group Derived From a Generalization of Integer Exponents and Open Problems
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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.
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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.
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