Conjugate Real Classes in General Linear Groups

Krishnendu Gongopadhyay, Sudip Mazumder, Sujit Kumar Sardar

Let $\F$ be a field with a non-trivial involution $c:\alpha \to {\alpha }^c$. An element $g \in {\rm GL}_n(\F)$ is called $c$-real if it is conjugate to $(g^c{)}^{-1}$. We prove that for $n \geq…