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

Document Type : Research Paper


1 Stellenbosch University

2 University of the Western Cape


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 $28$‎.


Main Subjects

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Volume 2, Issue 3 - Serial Number 3
September 2013
Pages 19-38
  • Receive Date: 14 November 2012
  • Revise Date: 30 November 2012
  • Accept Date: 30 November 2012
  • Published Online: 01 September 2013