Group satisfying Tits alternative
Statement
A group is said to satisfy the Tits alternative if every subgroup of it is either virtually solvable (i.e., has a solvable subgroup of finite index) or contains a free non-abelian subgroup.
Relation with other properties
Stronger properties
- Finite group
- Abelian group
- Nilpotent group
- Solvable group
- Virtually Abelian group
- Virtually nilpotent group
- Virtually solvable group
- Free group