Chirality and non-real elements in $G_2(q)$

Sushil Bhunia, Amit Kulshrestha, Anupam Singh

In this article, we determine the non-real elements--the ones that are not conjugate to their inverses--in the group $G=G_2(q)$ when $char(F_q)\ne 2,3$. We use this to show that…