Projective General Unitary Group

The projective general unitary group ${\it PGU}_n(q)$ is the Group obtained from the General Unitary Group ${\it GU}_n(q)$ on factoring the scalar Matrices contained in that group.

See also General Unitary Group, Projective General Linear Group, Projective General Orthogonal Group, Projective General Unitary Group

References

Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. ``The Groups ${\it GU}_n(q)$, ${\it SU}_n(q)$, ${\it PGU}_n(q)$, and ${\it PSU}_n(q)={\it U}_n(q)$.'' §2.2 in Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups. Oxford, England: Clarendon Press, p. x, 1985.