TOPICS
Search

Projective Special Unitary Group

The projective special unitary group PSU_n(q) is the group obtained from the special unitary group SU_n(q) on factoring by the scalar matrices contained in that group. PSU_n(q) is simple except for

PSU_2(2)=S_3
(1)
PSU_2(3)=A_4
(2)
PSU_3(2)=3^2:Q_8,
(3)

so it is given the simpler name U_n(q), with U_2(q)=L_2(q).

See also

Projective Special Linear Group, Projective Special Orthogonal Group, Special Unitary Group

Explore with Wolfram|Alpha

References

Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. "The Groups GU_n(q), SU_n(q), PGU_n(q), and PSU_n(q)=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.

Referenced on Wolfram|Alpha

Projective Special Unitary Group

Cite this as:

Weisstein, Eric W. "Projective Special Unitary Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ProjectiveSpecialUnitaryGroup.html

Subject classifications