Geodesic
Strong Tits Alternative for Subgroups of Coxeter Groups
Journal of Lie theory, Tome 12 (2002) no. 1, pp. 259-264 Cet article a éte moissonné depuis la source Heldermann Verlag

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It is proved that any subgroup of a Coxeter group has a finite index subgroup which either is abelian, or has a non-abelian free quotient. 
@article{JLT_2002_12_1_JLT_2002_12_1_a12,
     author = {G. A. Noskov and E. B. Vinberg },
     title = {Strong {Tits} {Alternative} for {Subgroups} of {Coxeter} {Groups}},
     journal = {Journal of Lie theory},
     pages = {259--264},
     year = {2002},
     volume = {12},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2002_12_1_JLT_2002_12_1_a12/}
}
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G. A. Noskov; E. B. Vinberg . Strong Tits Alternative for Subgroups of Coxeter Groups. Journal of Lie theory, Tome 12 (2002) no. 1, pp. 259-264. http://geodesic.mathdoc.fr/item/JLT_2002_12_1_JLT_2002_12_1_a12/