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 $G$).

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- Review status: reviewed
- Last edited by John Jones on 2022-07-20 12:27:37

**History:**(expand/hide all)

- 2022-07-20 12:27:37 by John Jones (Reviewed)
- 2022-07-18 18:21:39 by Jennifer Paulhus
- 2021-09-28 02:01:50 by David Roe
- 2021-09-28 01:44:39 by David Roe

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