We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy classes of such groups and orbits on projective subspaces (of a suitable dimension) of Singer groups of projective spaces. Together with a recent result of Drudge we establish the number of these elation groups.

The geometry of elation groups of finite projective space

SICILIANO, Alessandro
2013

Abstract

We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy classes of such groups and orbits on projective subspaces (of a suitable dimension) of Singer groups of projective spaces. Together with a recent result of Drudge we establish the number of these elation groups.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/19459
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