A note on the affine subgroup of the symplectic group

Abstract

We examine the symplectic group $Sp_{2m}(q)$ and its correspondingaffine subgroup. We construct the affine subgroup and show that itis a split extension. As an illustration of the above we study theaffine subgroup $2^5{:}Sp_4(2)$ of the group $Sp_6(2)$.

Keywords

• Group extensions
• character table
• symplectic groups