Projective special linear group implies every element is automorphic to its inverse

Statement
Suppose $$k$$ is a field and $$n$$ is a natural number. Let $$G = PSL(n,k)$$ be the fact about::projective special linear group of degree $$n$$ over $$k$$. Then, $$G$$ is a fact about::group in which every element is automorphic to its inverse.

Related facts

 * General linear group implies every element is automorphic to its inverse
 * Projective general linear group implies every element is automorphic to its inverse
 * Special linear group implies every element is automorphic to its inverse