Geodesic
Generators of Chevalley Groups over Z
Canadian journal of mathematics, Tome 38 (1986) no. 2, pp. 387-396

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

Let be the universal Chevalley group ([1], p. 197) of type over a field K and where Ф is the set of roots of . Let n = {α1, α2, ..., an } be a fundamental system of roots of and put Then we know from [2] (p. 950) that where h is the Coxeter number of We call an element of conjugate to W a Coxeter element and an element conjugate to M a Kac element. 
Chang, Bomshik. Generators of Chevalley Groups over Z. Canadian journal of mathematics, Tome 38 (1986) no. 2, pp. 387-396. doi: 10.4153/CJM-1986-019-9
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[1] 1. Carter, R. W., Simple groups of Lie type (John Wiley, New York, 1972). Google Scholar

[2] 2. Chang, B., Elements of order Coxeter number + 1 in Chevalley groups, Can. J. Math. 34 (1982), 945–951. Google Scholar

[3] 3. Chevalley, C., Classifications des groupes de Lie algébriques, vol. 2 (Secretariat mathématique, Paris, 1958). Google Scholar

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