Fixed-point group conjugacy classes of unipotent elements in low-dimensional symmetric spaces of special linear groups over a finite field

Abstract

In this paper, we characterize and classify the orbits of the fixed-point group on the unipotent elements of the generalized symmetric spaces for inner involutions of [Formula: see text] and [Formula: see text] where [Formula: see text] is a finite field of odd characteristic. We provide some generalized results for [Formula: see text].