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Journal of Lie Theory 12 (2002), No. 1, 259--264
Copyright Heldermann Verlag 2002

Strong Tits Alternative for Subgroups of Coxeter Groups

Guennadi A Noskov
Institute of Mathematics, Pevtsova 13, Omsk 644099, Russia

Ernest B. Vinberg
Dept. of Algebra, Moscow State University, Moscow 119899, Russia

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.

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