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Proof of the prime power conjecture for projective planes of order |
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| Authors: | Aart Blokhuis Dieter Jungnickel Bernhard Schmidt |
| Affiliation: | Department of Mathematics and Computing Science, Eindhoven University of Technology, Den Dolech 2, P.O. Box 513, 5600 MB Eindhoven, Netherlands ; Institut für Mathematik, Universität Augsburg, Universitätsstraße 14, 86135 Augsburg, Germany ; Institut für Mathematik, Universität Augsburg, Universitätsstraße 14, 86135 Augsburg, Germany |
| Abstract: | Let  be an abelian collineation group of order  of a projective plane of order  . We show that  must be a prime power, and that the  -rank of  is at least  if  for an odd prime  . |
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