In geometric group theory, a group G is said to satisfy the Tits alternative if for every subgroup H of G either H is virtually solvable or H contains a nonabelian free subgroup (in some versions of the definition this condition is only required to be satisfied for all finitely generated subgroups of G).
- Tits, J. (1972). "Free subgroups in linear groups". Journal of Algebra 20 (2): 250–270. doi:10.1016/0021-8693(72)90058-0.
- Bestvina, Mladen; Feighn, Mark; Handel, Michael (2000). "The Tits alternative for Out(Fn) I: Dynamics of exponentially-growing automorphisms". Annals of Mathematics 151 (2): 517–623. arXiv:math/9712217. doi:10.2307/121043. JSTOR 121043.
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