A factorization of elements in PSL(2, F), where F = Q, R
Jan Ambrosiewicz
Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000), p. 159-167 / Harvested from The Polish Digital Mathematics Library
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Let G be a group and Kₙ = {g ∈ G: o(g) = n}. It is prowed: (i) if F = ℝ, n ≥ 4, then PSL(2,F) = Kₙ²; (ii) if F = ℚ,ℝ, n = ∞, then PSL(2,F) = Kₙ²; (iii) if F = ℝ, then PSL(2,F) = K₃³; (iv) if F = ℚ,ℝ, then PSL(2,F) = K₂³ ∪ E, E ∉ K₂³, where E denotes the unit matrix; (v) if F = ℚ, then PSL(2,F) ≠ K₃³.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:287631 
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Jan Ambrosiewicz. A factorization of elements in PSL(2, F), where F = Q, R. Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000) pp. 159-167. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1013/

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