English

A generalization of a result of Heged\"us

Group Theory 2026-02-25 v1 Representation Theory

Abstract

A famous result of P. Heged\"us describes the structure of finite rational {2,5}\{2,5\}-groups. In this paper, we show how Heged\"us' proof can be used to obtain a similar result for the more general situation of a finite rational 22-group acting faithfully and with the eigenvector property on a f.d Fp\mathbb{F}_p-vector space with p5p\geq 5.

Keywords

Cite

@article{arxiv.2602.20977,
  title  = {A generalization of a result of Heged\"us},
  author = {Sara C. Debón},
  journal= {arXiv preprint arXiv:2602.20977},
  year   = {2026}
}