The geometry of elation groups of a finite projective space
Combinatorics
2012-02-29 v1 Group Theory
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.
Cite
@article{arxiv.1202.6212,
title = {The geometry of elation groups of a finite projective space},
author = {N. Durante and A. Siciliano},
journal= {arXiv preprint arXiv:1202.6212},
year = {2012}
}
Comments
8 pages