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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Open Access Research Article

Some properties of the result involution graph of Harada-Norton group HN

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pp. 1091–1096Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2036 Crossmark XML
Received:
16 Jul 2024
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2036
Pages:
1091–1096

Abstract

Assume that G ≅ HN the Harada–Norton group. In this paper, effective investment for the graph ΓRIHN standard features to acquire meaningful algebraic results for the graph ΓRIHN and its corresponding group HN. For instance,  marketing a modern methods to understand the way of create a precise small subgroups in G. Furthermore, performing a full investigation for getting particular ΓRIHN parameters.

Keywords

Subject Classifications

20D0805C25

References

[1] A. Ghanim and H. B. Shelash, “Dynamics of monad graph of finite group,” J. Discrete Math. Sci. Cryptogr., vol. 24, no. 6, pp. 1589–1593 (2021).
[2] A. Aubad and H. Salih, “More on result involution graphs,” Iraqi J. Sci., vol. 64, no. 1, pp. 331–340 (2023).
[3] A. Everett and P. Rowley, “On commuting involution graphs for the small Ree groups,” Commun. Algebra, vol. 50, no. 8, pp. 3276–3283 (2022).
[4] A. T. Jawad and A. Aubad, “Studying the result involution graphs for HS and McL Leech lattice groups,” J. Interdiscip. Math., vol. 26, no. 5, pp. 829–834 (2023).
[5] A. Jund and H. Salih, “Result involution graphs of finite groups,” J. Zankoy Sulaimani, vol. 23, no. 1, pp. 113–118 (2021).
[6] C. Cedillo, R. MacKinney-Romero, M. Pizaa, I. Robles, and R. Villarroel-Flores, Yet Another Graph System (YAGS), Version 0.0.5 (2019). [Online]. Available: http://xamanek.izt.uam.mx/yags/
[7] H. Q. Hamdi, “Investigation of the order elements 3 in certain twisted groups of Lie type,” Ital. J. Pure Appl. Math., vol. 48, no. 1, pp. 621–629 (2022).
[8] J. Amreen and S. Naduvath, “Order sum graph of a group,” Baghdad Sci. J., vol. 20, no. 1, p. 0181 (2023).
[9] R. A. Wilson, A World Wide Web Atlas of Group Representations. Univ. of Birmingham (2004). [Online]. Available: http://brauer.maths.qmul.ac.uk/Atlas/v3/
[10] S. K. Yadav, Advanced Graph Theory. Cham, Switzerland: Springer (2023).
[11] The GAP Group, GAP – Groups, Algorithms, and Programming, Version 4.13.0 (2024). [Online]. Available: http://www.gap-system.org
[12] Y. Filmus and N. Lindzey, “A note on largest independent sets of certain regular subgraphs of the derangement graph,” J. Algebraic Combin., vol. 59, no. 3, pp. 575–579 (2024).

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