Algebra | Group theory

Howson property

In the mathematical subject of group theory, the Howson property, also known as the finitely generated intersection property (FGIP), is the property of a group saying that the intersection of any two finitely generated subgroups of this group is again finitely generated. The property is named after Albert G. Howson who in a 1954 paper established that free groups have this property. (Wikipedia).

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Related pages

Free group | Group (mathematics) | Wreath product | Finitely generated group | Baumslag–Solitar group | Hyperbolic group | JSJ decomposition | Pro-p group | Small cancellation theory | Grigorchuk group | Nilpotent group | Virtually Haken conjecture | Group theory | Thompson groups | Free-by-cyclic group | Fundamental group | Subgroup | Virtually fibered conjecture | Hanna Neumann conjecture | First-order logic | Abelian group