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. We establish the number of these elation groups.
The geometry of elation groups / Durante, Nicola; Alessandro, Siciliano. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5454. - 10:1(2013), pp. 439-448. [10.1007/s00009-011-0173-1]
The geometry of elation groups
DURANTE, NICOLA;
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. We establish the number of these elation groups.File in questo prodotto:
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