The Fischer-Cliford Matrices and Character Table of the Split Extension Group 2^5:SL(5,2)

Volume 4, Issue 1, Article 4 - 2018

Authors: Rauhi I. Elkhatib

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Abstract

The group G ̅=2^5:SL(5,2) is a maximal subgroup of the special linear group SL(6,2) of index 2016. This Group has two inertia factor groups namely, SL(5,2) and 2^4:SL(4,2) of indices 1 and 31 respectively in SL(5, 2). The aim of this paper is to construct the Fischer-Clifford matrices of G ̅, which together with the associated partial character tables of the inertia groups, are used to compute the full charter table of G ̅. There are 27 Ficsher-Clifford matrices with sizes between 1×1 and 3×3.

How To Cite This Article

@article{I_Elkhatib_2018, doi = {10.31559/glm2016.4.1.4}, url = {https://doi.org/10.31559%2Fglm2016.4.1.4}, year = 2018, month = {jan}, publisher = {Refaad for Studies and Research}, volume = {4}, number = {1}, author = {Rauhi I. Elkhatib}, title = {The Fischer-Cliford Matrices and Character Table of the Split Extension Group 𝟐 𝟓 : {𝑺𝑳}(𝟓, 𝟐)}, journal = {General Letters in Mathematics} }
I. Elkhatib, R. (2018). The Fischer-Cliford Matrices and Character Table of the Split Extension Group 𝟐 𝟓 : 𝑺𝑳(𝟓, 𝟐). General Letters in Mathematics, 4(1). doi:10.31559/glm2016.4.1.4
[1]R. I. Elkhatib, “The Fischer-Cliford Matrices and Character Table of the Split Extension Group 𝟐 𝟓 : 𝑺𝑳(𝟓, 𝟐),” General Letters in Mathematics, vol. 4, no. 1, Jan. 2018.
I. Elkhatib, Rauhi. “The Fischer-Cliford Matrices and Character Table of the Split Extension Group 𝟐 𝟓 : 𝑺𝑳(𝟓, 𝟐).” General Letters in Mathematics 4, no. 1 (January 1, 2018). doi:10.31559/glm2016.4.1.4