The geometry of elation groups of a finite projective space

Details The geometry of elation groups of a finite projective space The geometry of elation groups of a finite projective space

2012-02-28

arxiv.org/abs/1202.6212v1

Mathematics

Combinatorics

8 pages

Scientific paper

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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