One-parameter Group

In mathematics, a one-parameter group or one-parameter subgroup usually means a continuous group homomorphism

φ : RG

from the real line R (as an additive group) to some other topological group G. That means that it is not in fact a group, strictly speaking; if φ is injective then φ(R), the image, will be a subgroup of G that is isomorphic to R as additive group.

Read more about One-parameter Group:  Discussion, Examples, Physics

Famous quotes containing the word group:

    Belonging to a group can provide the child with a variety of resources that an individual friendship often cannot—a sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social life—of inclusion and exclusion, conformity and independence.
    Zick Rubin (20th century)