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Moori, Jamshid, Rodrigues, Bernardo. (1394). A note on the affine subgroup of the symplectic group. , 5(1), 37-51. doi: 10.22108/ijgt.2016.7281
Jamshid Moori; Bernardo Rodrigues. "A note on the affine subgroup of the symplectic group". , 5, 1, 1394, 37-51. doi: 10.22108/ijgt.2016.7281
Moori, Jamshid, Rodrigues, Bernardo. (1394). 'A note on the affine subgroup of the symplectic group', , 5(1), pp. 37-51. doi: 10.22108/ijgt.2016.7281
Moori, Jamshid, Rodrigues, Bernardo. A note on the affine subgroup of the symplectic group. , 1394; 5(1): 37-51. doi: 10.22108/ijgt.2016.7281

A note on the affine subgroup of the symplectic group

International Journal of Group Theory
مقاله 20، دوره 5، شماره 1، خرداد 2016، صفحه 37-51    اصل مقاله (224.21 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2016.7281
نویسندگان
Jamshid Moori1؛ Bernardo Rodrigues* 2
1North-West University (Mafikeng) P Bag X2046, Mmabatho 2735, South Africa
2University of KwaZulu-Natal Durban, South Africa
چکیده
‎We examine the symplectic group $Sp_{2m}(q)$ and its corresponding affine subgroup‎. ‎We construct the affine subgroup and show that it is a split extension‎. ‎As an illustration of the above we study the affine subgroup $2^5{:}Sp_4(2)$ of the group $Sp_6(2)$‎.
کلیدواژه‌ها
Group extensions؛ character table؛ symplectic groups
مراجع
[1] F. Ali, Fischer-Clifford Theory for Split and Non-Split Group Extensions, Ph. D. thesis, University of Natal, Pieter-maritzburg, 2001.

[2] A. Basheer and J. Moori, On the non-split extension group 26·Sp(6,2), Bull. Iranian Math. Soc., 39 (2013) 1189–1212.

[3] J. H. Conway, R.T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, Atlas of Finite Groups, Oxford University Press, Oxford, 1985.

[4] R. Gow, Some characters of affine subgroups of classical groups, J. London Math. Soc. (2), 2 (1976) 231–236.

[5] The GAP Group, GAP-Groups, Algorithms, and Programming, Version 4.4.

[6] J. Moori and T. Seretlo, On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly, Bul. of Iranian Math Soc., 39 (2013) 1037-1052.

[7] Z. E. Mpono, Fischer Clifford Theory and Character Tables of Group Extensions, Ph. D. thesis, University of Natal, Pietermaritzburg, 1998.

[8] B. G. Rodrigues, On the Theory and Examples of Group Extensions, Master’s thesis, University of Natal, Pieter-maritzburg, 1999.

[9] J. J. Rotman, An Introduction to the Theory of Groups, Fourth ed., Springer-Verlag, New York, Inc., 1995.

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