Combinatorial group theory | Properties of groups

SQ-universal group

In mathematics, in the realm of group theory, a countable group is said to be SQ-universal if every countable group can be embedded in one of its quotient groups. SQ-universality can be thought of as a measure of largeness or complexity of a group. (Wikipedia).

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Related pages

Word problem for groups | Undecidable problem | Torsion (algebra) | Separable space | Free product | Free group | Topological group | Group (mathematics) | Isomorphism | Generator (mathematics) | Symmetric group | Hyperbolic group | Word problem (mathematics) | Generating set of a group | Quotient group | Finite group | Simple group | Direct product of groups | Dense set | Mathematics | Coxeter group | Free lattice | Group theory | Cyclic group | Infinity | Lie algebra | Normal subgroup | Concrete category | Presentation of a group | Subgroup | Cardinality | Algorithm | Abelian group | HNN extension