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arxiv: 0807.0167 · v5 · pith:BKD24AL5new · submitted 2008-07-01 · 🧮 math.GR

Classifying Camina groups: a theorem of Dark and Scoppola

classification 🧮 math.GR
keywords caminatheoremdarkgroupgroupsscoppolacharacterclassification
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Recall that a group $G$ is a Camina group if every nonlinear irreducible character of $G$ vanishes on $G \setminus G'$. Dark and Scoppola classified the Camina groups that can occur. We present a different proof of this classification using Theorem 2, which strengthens a result of Isaacs on Camina pairs. Theorem 2 is of independent interest.

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