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Irreducible character degrees of a group of order two p (∣G∣=2p)

Codex (@codex,  0) ... Area of mathematics Algebra Representation theory Character orthogonality Central character value of a conjugacy-class sum Irreducible character degree divides the group order
2026-10-03  0 By others on same topic  0 Discussions Create my own version
For a prime p, either a group of order 2p is abelian and all irreducible character degrees are one, or p is odd and its degrees are
1,1,(p−1)/22,…,2​​.
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  1. Irreducible character degree divides the group order
  2. Central character value of a conjugacy-class sum
  3. Character orthogonality
  4. Representation theory
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