On Shalev's conjecture for type $A_n$ and ${}^2{A}_n$

Alexey Galt, Amit Kulshrestha, Anupam Singh +1

In the paper we consider images of finite simple projective special linear and unitary groups under power words. In particular, we show that if $G\simeq \PSL_n^\varepsilon (q)$, th…