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

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 SL 3 (k) and SL 4 (k) where k is a finite field of odd characteristic. We provide some generalized results for SL n (k). [ABSTRACT FROM AUTHOR]