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We classify the maximal irreducible periodic subgroups of PGL(q,
), where
is a field of positive characteristic p transcendental over its prime subfield, q = p is prime, and
× has an element of order q. That is, we construct a list of irreducible subgroups G of GL(q,
) containing the centre
×1q of GL(q,
), such that G/
×1q is a maximal periodic subgroup of PGL(q,
), and if H is another group of this kind then H is GL(q,
)-conjugate to a group in the list. We give criteria for determining...
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