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Prins, Abraham, Fray, Richard. (1392). The Fischer-Clifford matrices of the inertia group 27:O- 6 (2) of a maximal subgroup 27:Sp6(2) in sp8(2). , 2(3), 19-38. doi: 10.22108/ijgt.2013.2049
Abraham Prins; Richard Fray. "The Fischer-Clifford matrices of the inertia group 27:O- 6 (2) of a maximal subgroup 27:Sp6(2) in sp8(2)". , 2, 3, 1392, 19-38. doi: 10.22108/ijgt.2013.2049
Prins, Abraham, Fray, Richard. (1392). 'The Fischer-Clifford matrices of the inertia group 27:O- 6 (2) of a maximal subgroup 27:Sp6(2) in sp8(2)', , 2(3), pp. 19-38. doi: 10.22108/ijgt.2013.2049
Prins, Abraham, Fray, Richard. The Fischer-Clifford matrices of the inertia group 27:O- 6 (2) of a maximal subgroup 27:Sp6(2) in sp8(2). , 1392; 2(3): 19-38. doi: 10.22108/ijgt.2013.2049

The Fischer-Clifford matrices of the inertia group 27:O- 6 (2) of a maximal subgroup 27:Sp6(2) in sp8(2)

International Journal of Group Theory
مقاله 3، دوره 2، شماره 3، آذر 2013، صفحه 19-38    اصل مقاله (538.16 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2013.2049
نویسندگان
Abraham Prins* 1؛ Richard Fray2
1Stellenbosch University
2University of the Western Cape
چکیده
The subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups., The split extension group $A(4)\cong 2^7{:}Sp_6(2)$ is the affine subgroup of the symplectic group $Sp_8(2)$ of index $255$‎. ‎In this paper‎, ‎we use the technique of the Fischer-Clifford matrices to construct the character table of the inertia group $2^7{:}O^{-}_{6}(2)$ of $A(4)$ of index $28$‎.
کلیدواژه‌ها
split extension؛ coset analysis؛ Fischer matrices
مراجع
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Z. Mpono (1998) Fischer-Clifford Theory and Character Tables of Group Extensions PhD Thesis, University of Natal
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