Non-existence of integral Hopf orders for twists of several simple groups of Lie type

Giovanna Carnovale, Juan Cuadra, Elisabetta Masut

Let $p$ be a prime number and $q=p^m$, with $m\ge 1$ if $p\ne 2,3$ and $m>1$ otherwise. Let $\Omega$ be any non-trivial twist for the complex group algebra of ${\mathbf{PSL}}_2(q)$ ar…