The order of the conjugacy classes of \(\text{GL}(n,F)\)
The author is concerned with the order (cardinality) of conjugacy classes in the groups \(\text{GL}(n,F)\) of invertible matrices over finite fields \(F\). The answer involves both binomial and \(q\)-binomial coefficients.
general linear groups over finite fields
scientific article; zbMATH DE number 1042602