In algebra, more specifically group theory, a p-elementary group is a direct product of a finite cyclic group of order relatively prime to p and a p-group.
Brauer's theorem on induced characters states that a character on a finite group is a linear combination with integer coefficients of characters induced from elementary subgroups.
More generally, a finite group G is called a p-hyperelementary if it has the extension where
is cyclic of order prime to p and P is a p-group.
This group theory-related article is a stub.