Journal of Lie Theory

no. 1
Strong Tits Alternative for Subgroups of Coxeter Groups
Journal of Lie Theory, Volume 12 (2002) no. 1, pp. 259-264
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.
DOI: 10.5802/jolt.261
Classification: 20F55, 20E07
Keywords: Coxeter groups, Tits alternative, subgroups of finite index, virtually Abelian subgroups, large groups 
@article{JOLT_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},
     doi = {10.5802/jolt.261},
     zbl = {0999.20029},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.261/}
}
TY  - JOUR
AU  - G. A. Noskov
AU  - E. B. Vinberg
TI  - Strong Tits Alternative for Subgroups of Coxeter Groups
JO  - Journal of Lie Theory
PY  - 2002
SP  - 259
EP  - 264
VL  - 12
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.261/
DO  - 10.5802/jolt.261
ID  - JOLT_2002_12_1_a12
ER  - 
%0 Journal Article
%A G. A. Noskov
%A E. B. Vinberg
%T Strong Tits Alternative for Subgroups of Coxeter Groups
%J Journal of Lie Theory
%D 2002
%P 259-264
%V 12
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.261/
%R 10.5802/jolt.261
%F JOLT_2002_12_1_a12
G. A. Noskov; E. B. Vinberg. Strong Tits Alternative for Subgroups of Coxeter Groups. Journal of Lie Theory, Volume 12 (2002) no. 1, pp. 259-264. doi: 10.5802/jolt.261

Cited by Sources: