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GAP Data Library "Classical Groups"

This library is part of the core GAP system.


This library has been built up by various people in the course of the development of GAP.


The data library of classical groups provides generic functions to construct

  • general linear groups,
  • special linear groups,
  • general unitary groups,
  • special unitary groups,
  • symplectic groups,
  • general orthogonal groups,
  • special orthogonal groups,
  • projective general linear groups,
  • projective special linear groups,
  • projective general unitary groups,
  • projective special unitary groups, and
  • projective symplectic groups.


Standard texts as well as papers on group theory, quoted in the GAP reference manual section:

GAP Manual section

Classical Groups