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- Residually_finite_group abstract "In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every nontrivial element g in G there is a homomorphism h from G to a finite group, such that There are a number of equivalent definitions:A group is residually finite if for each non-identity element in the group, there is a normal subgroup of finite index not containing that element.A group is residually finite if and only if the intersection of all its subgroups of finite index is trivial. A group is residually finite if and only if the intersection of all its normal subgroups of finite index is trivial.A group is residually finite if and only if it can be embedded inside the direct product of a family of finite groups.".
- Residually_finite_group wikiPageExternalLink infoFT.phtml?journal_id=im&paper_id=807&year_id=1969&volume_id=3&issue_id=4&fpage=867.
- Residually_finite_group wikiPageID "5780875".
- Residually_finite_group wikiPageRevisionID "544443252".
- Residually_finite_group hasPhotoCollection Residually_finite_group.
- Residually_finite_group subject Category:Infinite_group_theory.
- Residually_finite_group subject Category:Properties_of_groups.
- Residually_finite_group type Abstraction100002137.
- Residually_finite_group type Possession100032613.
- Residually_finite_group type PropertiesOfGroups.
- Residually_finite_group type Property113244109.
- Residually_finite_group type Relation100031921.
- Residually_finite_group comment "In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every nontrivial element g in G there is a homomorphism h from G to a finite group, such that There are a number of equivalent definitions:A group is residually finite if for each non-identity element in the group, there is a normal subgroup of finite index not containing that element.A group is residually finite if and only if the intersection of all its subgroups of finite index is trivial. ".
- Residually_finite_group label "Gruppo residualmente finito".
- Residually_finite_group label "Residually finite group".
- Residually_finite_group label "Остаточно конечная группа".
- Residually_finite_group label "剩餘有限群".
- Residually_finite_group sameAs Gruppo_residualmente_finito.
- Residually_finite_group sameAs m.0f46c2.
- Residually_finite_group sameAs Q3777935.
- Residually_finite_group sameAs Q3777935.
- Residually_finite_group sameAs Residually_finite_group.
- Residually_finite_group wasDerivedFrom Residually_finite_group?oldid=544443252.
- Residually_finite_group isPrimaryTopicOf Residually_finite_group.