The general unitary group 
is the subgroup of all
elements of the general linear group 
that fix a given nonsingular Hermitian
form. This is equivalent, in the canonical case, to the definition of 
as the group of unitary matrices.
General Unitary Group
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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.Referenced on Wolfram|Alpha
General Unitary GroupCite this as:
Weisstein, Eric W. "General Unitary Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeneralUnitaryGroup.html