Periodic subgroups of projective linear groups in positive characteristic
نویسندگان
چکیده
Received 16 March 2008; accepted 4 May 2008 Abstract: We classify the maximal irreducible periodic subgroups of PGL(q,F) , where F is a field of positive characteristic p transcendental over its prime subfield, q 6= p is prime, and F× has an element of order q . That is, we construct a list of irreducible subgroups G of GL(q,F) containing the centre F×1q of GL(q,F) , such that G/F×1q is a maximal periodic subgroup of PGL(q,F) , and if H is another group of this kind then H is GL(q,F) -conjugate to a group in the list. We give criteria for determining when two listed groups are conjugate, and show that a maximal irreducible periodic subgroup of PGL(q,F) is self-normalising. MSC: 20H20, 20Exx
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