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Classifying Camina groups: A theorem of Dark and Scoppola

2014; Rocky Mountain Mathematics Consortium; Volume: 44; Issue: 2 Linguagem: Inglês

10.1216/rmj-2014-44-2-591

1945-3795

Mark L. Lewis,

Coding theory and cryptography

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.