Geodesic
Some subgroups of SL(3, z) generated by involutions
Glasgow mathematical journal, Tome 32 (1990) no. 2, pp. 127-136

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

For R a commutative ring with identity 1 we let SL(n, R) denote the group of n × n integral matrices with determinant 1. A transvection T is an element of SL(n, R) which we represent (see [1]) as a pair (φ d) where φ ∈ (Rn)*, the dual space of Rn, d ∈ Rn, φ(d) = 0, and for all x ∈ Rn we haveT(x) = + φ(x) d.Throughout this paper an involution is an element Y of SL(n, R) which has order two. Let n = 3 and R = Z and let C = diag(–1, –1, –1) be the central element of GL(3, Z). 
Humphries, Stephen P. Some subgroups of SL(3, z) generated by involutions. Glasgow mathematical journal, Tome 32 (1990) no. 2, pp. 127-136. doi: 10.1017/S0017089500009150
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[5] 5.Newman, M., Integral matrices (Academic Press 1972). Google Scholar

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