In this paper we consider an oval which is fixed by an irreduciblecollineation group whose order is divisible by four. Our main result, states that such a group contains non-trivial involutory perspectivities, hence a theorem of Hering describing such groups applies. The consequences of such a classification in the situation under consideration are analyzed in some detail.
Irreducible Collineation Groups fixing an Oval / Bonisoli, Arrigo; M. R., Enea; G., Korchmaros. - In: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG. - ISSN 0025-5858. - STAMPA. - 69:(1999), pp. 259-264.
Irreducible Collineation Groups fixing an Oval
BONISOLI, Arrigo;
1999
Abstract
In this paper we consider an oval which is fixed by an irreduciblecollineation group whose order is divisible by four. Our main result, states that such a group contains non-trivial involutory perspectivities, hence a theorem of Hering describing such groups applies. The consequences of such a classification in the situation under consideration are analyzed in some detail.
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