General Unitary Group

The general unitary group GU_n(q) is the subgroup of all elements of the general linear group GL(q^2) that fix a given nonsingular Hermitian form. This is equivalent, in the canonical case, to the definition of GU_n as the group of unitary matrices.

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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.

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General Unitary Group

Cite this as:

Weisstein, Eric W. "General Unitary Group." From MathWorld--A Wolfram Web Resource.

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