In this survey we show how, abelian collineation groups of projective planes, may be applied for the construction of interesting geometric objects such as unitals, arcs and (hyper-)ovals, (Baer) subplanes, and projective triangles. This approach makes it sometimes possible to provide simple geometric proofs for non-trivial structural restrictions on the given collineation group.
Some Geometric Aspects of Finite Abelian Groups / Ghinelli, Dina; Jungnickel, D.. - STAMPA. - XXXI, parte I(2009), pp. 37-74.
Some Geometric Aspects of Finite Abelian Groups
GHINELLI, Dina;
2009
Abstract
In this survey we show how, abelian collineation groups of projective planes, may be applied for the construction of interesting geometric objects such as unitals, arcs and (hyper-)ovals, (Baer) subplanes, and projective triangles. This approach makes it sometimes possible to provide simple geometric proofs for non-trivial structural restrictions on the given collineation group.File allegati a questo prodotto
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