Periodic subgroups of projective linear groups in positive characteristic. (Q944044)

The authors classify the maximal irreducible periodic subgroup of \(\text{PGL}(q,\mathbb{F})\) where \(\mathbb{F}\) is a field of positive characteristic \(p\) transcendental over its prime subfield, \(q\neq p\) is prime, and \(\mathbb{F}^\times\) has an element of order \(q\). This classification problem is more tractable than a similar problem in characteristic zero.