# Local (mathematics)

From Ref

In mathematics, *local* generally means that a property or behaviour at a point depends only on that point, or one points close to it. Often, it means *locally determined* -- some global property is determined completely by the way things behave locally. In addition to *local* being used as an adjective, *locally* is also used as an adverb, typically as a modifier to existing properties to indicate that these properties are only satisfied locally.

### In ring theory

In both commutative and noncommutative algebra:

### In topology

### In group theory

**Local subgroup**: A subgroup of a group that occurs as the normalizer of a nontrivial solvable subgroup.

**Primary subject wiki entry**: Groupprops:Local subgroup