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Strongly real classes in finite unitary groups of odd characteristic

Strongly real classes in finite unitary groups of odd characteristic

Abstract. We classify all strongly real conjugacy classes of the finite unitary group U( n ,𝔽 q ) when q is odd. In particular, we show that g ∈ U( n ,𝔽 q ) is strongly real if and only if g is an element of some embedded orthogonal group …