On non-surjective word maps on ${\mathrm{PSL}}_2({\mathbb{F}}_q)$

Arindam Biswas, Jyoti Prakash Saha

Jambor--Liebeck--O'Brien showed that there exist non-proper-power word maps which are not surjective on ${\mathrm{PSL}}_2({\mathbb{F}}_q)$ for infinitely many $q$. This provided th…