Peer-Reviewed Journal Details
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Detinko, AS,Flannery, DL
2008
September
Central European Journal Of Mathematics
Periodic subgroups of projective linear groups in positive characteristic
Published
()
Optional Fields
linear group periodic group projective general linear group field classification PRIME DEGREE
6
384
392
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 not equal p is prime, and F-x has an element of order q. That is, we construct a list of irreducible subgroups G of GL(q; F) containing the centre Fx1(q) of GL(q; F), such that G/Fx1(q) 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.
DOI 10.2478/s11533-008-0033-9
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