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Ali, Faryad; Alotaibi, Naif; Al-Dayel, Ibrahim

On \((2, 3, n)\)-generations of the Fischer group \(\mathrm{Fi}_{23}\). (English) Zbl 07861114

JP J. Algebra Number Theory Appl. 63, No. 3, 281-296 (2024).

MSC:

20D08 Simple groups: sporadic groups
20F05 Generators, relations, and presentations of groups

Keywords:

Fischer group \(\mathrm{Fi}_{23}\); simple group; generating triple; sporadic group

Software:

GAP
Cite Review PDF
Full Text: DOI

ATLAS of Finite Group Representations:

Fischer group Fi23

References:

[1] F. Ali, On the ranks of O’N and Ly, Discrete Applied Mathematics 155(3) (2007), 394-399. · Zbl 1114.20007
[2] F. Ali and M. A. Al-Kadhi, Generating pairs for the Fischer group , 23
[3] Fi Algebra Colloq. 27 (2020), 713-730. · Zbl 1506.20012
[4] F. Ali and M. A. Al-Kadhi, On the ranks of Fischer group , 23
[5] Fi JP Journal of
[6] Algebra, Number Theory and Applications 42 (2019), 229-239.
[7] F. Ali, M. Al-Kadhi, A. Aljouiee and M. Ibrahim, 2-generations of finite simple groups in GAP, in: 2016 International Conference on Computational Science and Computational Intelligence (CSCI), IEEE Press, Piscataway, 2016, pp. 1339-1344.
[8] F. Ali, M. Ibrahim and A. Woldar, ( )
[9] r q, , 3 -Generations of Fischer’s sporadic group , 24 i F ′ Journal of Group Theory 22(3) (2019), 346-382.
[10] A. R. Ashrafi and G. A. Moghani, nX-Complementary generations of the Fischer group , 23
[11] Fi J. Appl. Math. Comput. 21 (2006), 393-409. · Zbl 1101.20007
[12] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, An Atlas of Finite Groups, Oxford University Press, 1985. · Zbl 0568.20001
[13] M. D. E. Conder, R. A. Wilson and A. J. Woldar, The symmetric genus of sporadic groups, Proc. Amer. Math. Soc. 116 (1992), 653-663. · Zbl 0836.20014
[14] L. Finkelstein, The maximal subgroups of Janko’s simple group of order 50, 232, 960, J. Algebra 30 (1974), 122-143. · Zbl 0325.20010
[15] P. B. Kleidman, R. A. Parker and R. A. Wilson, The maximal subgroups of the Fischer group , 23
[16] Fi J. London Math. Soc. (2) 39(1) (1989), 89-101.
[17] The GAP Group, GAP -Groups, Algorithms and Programming, Version 4.3, Aachen, St Andrews, 2003. (http://www.gap-system.org).
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