publication . Other literature type . 2007

A note on the group of projectivities of finite projective planes

Müller, Peter; Nagy, Gábor P.;
Open Access English
Abstract
In this short note we show that the group of projectivities of a projective plane of order [math] cannot be isomorphic to the Mathieu group [math] . By a result of T. Grundhöfer, this implies that the group of projectivities of a non-desarguesian projective plane of finite order [math] is isomorphic either to the alternating group [math] or to the symmetric group [math] .
Subjects
free text keywords: projective planes, projectivities, loops, 20N05, 51E15
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Other literature type . 2007
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