A finite group $G$ is hyperelementary if it is an extension $G \simeq C \rtimes P$ of a $p$-group $P$ by a cyclic group $C$ of order prime to $p$. Solomon's induction theorem states that the trivial character is an integer linear combination of inductions of trivial characters from hyperelementary subgroups of $G$ (for various primes dividing the order of $G$).
Authors:
Knowl status:
History:
(expand/hide all)
Differences
(show/hide)
- Review status: reviewed
- Last edited by John Jones on 2022-06-27 19:19:52