English

Inductive McKay Condition in defining Characteristic

Representation Theory 2014-02-26 v2

Abstract

We reformulate the inductive McKay condition, from Isaacs-Malle-Navarro, and apply the new criterion to simple groups of Lie type, when the prime is the defining characteristic p. Thereby we make use of a recent result of Maslowski. This proves that these simple group satisfy the inductive McKay condition for p. In the non simply-laced types and non-classical types this reproves earlier results by Brunat and Brunat-Himstedt.

Cite

@article{arxiv.1009.0463,
  title  = {Inductive McKay Condition in defining Characteristic},
  author = {Britta Späth},
  journal= {arXiv preprint arXiv:1009.0463},
  year   = {2014}
}

Comments

12 pages

R2 v1 2026-06-21T16:08:40.458Z