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Finite Groups with Odd Sylow Normalizers

Group Theory 2016-02-25 v2 Representation Theory

Abstract

We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups.

Keywords

Cite

@article{arxiv.1602.04797,
  title  = {Finite Groups with Odd Sylow Normalizers},
  author = {Robert M. Guralnick and Gabriel Navarro and Pham Huu Tiep},
  journal= {arXiv preprint arXiv:1602.04797},
  year   = {2016}
}

Comments

12 pages

R2 v1 2026-06-22T12:50:40.452Z