Editing Local property (section)

==Properties of finite groups==
For [[finite group]]s, a "small neighborhood" is taken to be a subgroup defined in terms of a [[prime number]] ''p'', usually the '''local subgroups''', the [[normalizer]]s of the nontrivial [[p-group|''p''-subgroups]].  In which case, a property is said to be local if it can be detected from the local subgroups.  Global and local properties formed a significant portion of the early work on the [[classification of finite simple groups]], which was carried out during the 1960s.