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Rezaeezadeh, Gholamreza, Darafsheh, Mohammad Reza, Mirdamadi, Ebrahim. (1394). Finite simple groups which are the products of symmetric or alternating groups with L3(4). , 5(1), 11-16. doi: 10.22108/ijgt.2016.5505
Gholamreza Rezaeezadeh; Mohammad Reza Darafsheh; Ebrahim Mirdamadi. "Finite simple groups which are the products of symmetric or alternating groups with L3(4)". , 5, 1, 1394, 11-16. doi: 10.22108/ijgt.2016.5505
Rezaeezadeh, Gholamreza, Darafsheh, Mohammad Reza, Mirdamadi, Ebrahim. (1394). 'Finite simple groups which are the products of symmetric or alternating groups with L3(4)', , 5(1), pp. 11-16. doi: 10.22108/ijgt.2016.5505
Rezaeezadeh, Gholamreza, Darafsheh, Mohammad Reza, Mirdamadi, Ebrahim. Finite simple groups which are the products of symmetric or alternating groups with L3(4). , 1394; 5(1): 11-16. doi: 10.22108/ijgt.2016.5505

Finite simple groups which are the products of symmetric or alternating groups with L3(4)

International Journal of Group Theory
مقاله 2، دوره 5، شماره 1، خرداد 2016، صفحه 11-16    اصل مقاله (181.1 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2016.5505
نویسندگان
Gholamreza Rezaeezadeh* 1؛ Mohammad Reza Darafsheh2؛ Ebrahim Mirdamadi1
1University of Shahrekord
2University of Tehran
چکیده
In this paper‎, ‎we determine the simple groups $G=AB$‎, ‎where $B$ is isomorphic to $L_{3}(4)$ and $A$ isomorphic to an alternating or a symmetric group on $n\geq5$‎, ‎letters‎.
کلیدواژه‌ها
Factorization؛ product of groups؛ symmetric groups
مراجع
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[2] M. R. Darafsheh and A. Mahmiani, Products of the symmetric or alternating groups with L3(3), Quasigroups
Related Systems, 17 (2009) 9–16.

[3] M. R. Darafsheh, G. R. Rezaeezadeh and G. L. Walls, Groups which are the product of S6 and a simple group, Algebra Colloq., 10 (2003) 195–204.

[4] J. D. Dixon and B. Mortimer, Permutation Groups, Springer-Verlag, New York, 1996.

[5] M. Giudici, Factorization of sporadic simple groups, J. Algebra, 303 (2006) 311–323.

[6] P. Kleidman and M. Liebeck, The struture of the finite classical groups, Cambridge University Press, 1990.

[7] M. W. Liebeck, C. E. Praeger and J. Saxl, Regular subgroups of primitive permutation groups, Mem. Amer. Math. Soc., 203 (2010).

[8] M. W. Liebeck, C. E. Praeger and J. Saxl, The maximal factorizations of the finite simple groups and their auto-morphism groups, Mem. Amer. Math. Soc., 86 1990.

[9] W. R. Scott, Product of A5 and a finite simple group, J. Algebra, 37 (1975) 165–171.

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