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 $G$).

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- Last edited by John Jones on 2022-06-27 19:19:52

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