show · group.elementary all knowls · up · search:

A finite group is $p$-elementary if it is the direct product of a cyclic group of order relatively prime to $p$ and a $p$-group. Brauer's induction theorem states that any character of a finite group $G$ is an integer linear combination of inductions of linear characters from elementary subgroups of $G$ (for different primes $p$ dividing the order of $G$).

Knowl status:
  • Review status: reviewed
  • Last edited by John Jones on 2022-07-20 12:27:37
Referred to by:
History: (expand/hide all) Differences (show/hide)