Geodesic
Singer Groups
Canadian journal of mathematics, Tome 22 (1970) no. 3, pp. 492-513

Voir la notice de l'article provenant de la source Cambridge University Press

Interest in the Singer groups has arisen in various places. The name itself results from the connection Singer [7] made between these groups and perfect difference sets, and this is closely associated with the geometric property that a Singer group is regular on the points of a projective space. Some information about these groups appears in Huppert's book [3, p. 187]. Singer groups are frequently useful in constructing examples and counterexamples. Our aim in this paper is to make a systematic study of the Singer subgroups of the linear groups, with a particular view to analyzing the examples they provide of Frobenius regular groups. Frobenius regular groups are a class of permutation groups generalizing the Zassenhaus groups, and Keller [5] has shown recently that they provide a new characterization of A6 and M11. 
Hestenes, Marshall D. Singer Groups. Canadian journal of mathematics, Tome 22 (1970) no. 3, pp. 492-513. doi: 10.4153/CJM-1970-057-2
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