English

Cross characteristic representations of $^3D_4(q)$ are Reducible over proper subgroups

Representation Theory 2009-10-27 v1 Group Theory

Abstract

We prove that the restriction of any absolutely irreducible representation of Steinberg's triality groups 3D4(q)^3D_4(q) in characteristic coprime to q to any proper subgroup is reducible

Keywords

Cite

@article{arxiv.0910.4888,
  title  = {Cross characteristic representations of $^3D_4(q)$ are Reducible over proper subgroups},
  author = {Hung Ngoc Nguyen and Pham Huu Tiep},
  journal= {arXiv preprint arXiv:0910.4888},
  year   = {2009}
}

Comments

12 pages; with an appendix by Frank Himstedt