Finite groups whose real irreducible representations have unique dimensions

Thomas Breuer; Frank Calegari; Silvio Dolfi; Gabriel Navarro; Pham Huu Tiep

Finite groups whose real irreducible representations have unique dimensions

Group Theory 2025-05-08 v3

Authors: Thomas Breuer , Frank Calegari , Silvio Dolfi , Gabriel Navarro , Pham Huu Tiep

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Abstract

We determine the finite groups whose real irreducible representations have different degrees.

Keywords

finite group theory representation theory of groups combinatorial group theory

Cite

@article{arxiv.2407.20854,
  title  = {Finite groups whose real irreducible representations have unique dimensions},
  author = {Thomas Breuer and Frank Calegari and Silvio Dolfi and Gabriel Navarro and Pham Huu Tiep},
  journal= {arXiv preprint arXiv:2407.20854},
  year   = {2025}
}