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Abstract: We study the action of Singer groups of projective geometries (and their subgroups) on (d 1)-ats for arbitrary d. The possibilities which can occur are determined, and a formula for the number of orbits of each possible size is given. (Update)
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BibTeX entry: (Update)
@misc{ drudge-orbits,
author = "Keldon Drudge",
title = "On the orbits of Singer groups and their subgroups",
url = "citeseer.ist.psu.edu/article/drudge01orbits.html" }
Citations (may not include all citations):860 The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1977
104 Introduction to analytic number theory (context) - Apostol - 1976
42 Cambridge University Press (context) - Cameron, Groups - 1999
4 corresponding to a maximal cap contained in the Klein quadri.. (context) - Glynn, of et al. - 1988
4 A theorem in nite projective geometry and some applications .. (context) - Singer - 1938
2 Complete arcs in planes of square order Ann (context) - Fisher, Hirschfeld et al. - 1986
2 Singer-Zyklen in klassischen Gruppen (context) - Huppert - 1970
2 Partitioning projective geometries into caps Can (context) - Ebert - 1985
2 The completion problem for partial packings (context) - Ebert - 1985
1 submitted to the proceedings of the conference Paul Erd}os a.. (context) - Cameron - 1999
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