Abstract
Towards the study of finite projective plane of prime order, the following result is proved in this paper. Let π be a projective plane of prime order p and let G be a collineation group of π. If p¦|G|, then either π is Desarguesian or the maximal maximal normal subgroup of G is not trivial. In particular, π is Desarguesian if G does not leave invariant any point or line.
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Partially supported by NSERC A8460.
Partially supported by CNPq.
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Ho, C.Y., Goncalves, A. On collineation groups of a projective plane of prime order. Geom Dedicata 20, 357–366 (1986). https://doi.org/10.1007/BF00149585
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DOI: https://doi.org/10.1007/BF00149585