Eigenvalue-less matrices from SL${}_3({\mathbb{F}}_7)$ to PSL${}_3({\mathbb{F}}_7)$

Juan Lucas Callo, George Chen, Yasiru Jayasooriya +5

We analyse the set of matrices in SL${}_3({\mathbb{F}}_7)$ without eigenvalues explicitly, extracting nice bijections between the 18 equally sized conjugacy classes contained within. I…