English

Classifying Camina groups: a theorem of Dark and Scoppola

Group Theory 2014-11-13 v5

Abstract

Recall that a group GG is a Camina group if every nonlinear irreducible character of GG vanishes on GGG \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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Cite

@article{arxiv.0807.0167,
  title  = {Classifying Camina groups: a theorem of Dark and Scoppola},
  author = {Mark L. Lewis},
  journal= {arXiv preprint arXiv:0807.0167},
  year   = {2014}
}

Comments

I have received the referee's report for this paper and made the requested revisions

R2 v1 2026-06-21T10:56:26.521Z