A note on the affine subgroup of the symplectic group

Document Type : Research Paper

Authors

1 North-West University (Mafikeng) P Bag X2046, Mmabatho 2735, South Africa

2 University of KwaZulu-Natal Durban, South Africa

Abstract

‎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 $Sp_6(2)$‎.

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References

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

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History

  • Receive Date: 02 April 2014
  • Revise Date: 10 November 2014
  • Accept Date: 12 November 2014
  • Published Online: 01 March 2016

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