Projective Special Linear Group

The projective special linear group PSL_n(q) is the group obtained from the special linear group SL_n(q) on factoring by the scalar matrices contained in that group. It is simple for n>=2 except for


and is therefore also denoted L_n(Q).

See also

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

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Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. "The Groups GL_n(q), SL_n(q), PGL_n(q), and PSL_n(q)=L_n(q)." §2.1 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 Linear Group

Cite this as:

Weisstein, Eric W. "Projective Special Linear Group." From MathWorld--A Wolfram Web Resource.

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