The projective special unitary group
is the Group obtained from the Special Unitary Group on factoring by the Scalar Matrices contained in that Group.
is
Simple except for
See also Projective Special Linear Group, Projective Special Orthogonal Group, Special Unitary Group
References
Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A.
``The Groups , ,
, and
.'' §2.2 in
Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups. Oxford, England:
Clarendon Press, p. x, 1985.