Restricted direct product of finite groups
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
Definition
A group is termed a restricted direct product of finite groups if it is isomorphic to the restricted external direct product of a bunch of finite groups.
Relation with other properties
Weaker properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| Residually finite group | every non-identity element is outside some normal subgroup of finite index | |||
| Locally finite group | every finitely generated subgroup is finite |