Brauer characters and normal Sylow $p$-subgroups

Hung P. Tong-Viet

Brauer characters and normal Sylow $p$-subgroups

Group Theory 2018-03-15 v2 Representation Theory

Authors: Hung P. Tong-Viet

Abstract

In this paper, we study some variations of the well-known It\^{o}-Michler theorem for $p$ -Brauer characters using various inequalities involving the $p$ -Brauer character degrees of finite groups. Several new criteria for the existence of a normal Sylow $p$ -subgroup of finite groups are obtained using the $p$ -parts and $p'$ -parts of the $p$ -Brauer character degrees.

Keywords

character theory brauer algebras

Cite

@article{arxiv.1802.00909,
  title  = {Brauer characters and normal Sylow $p$-subgroups},
  author = {Hung P. Tong-Viet},
  journal= {arXiv preprint arXiv:1802.00909},
  year   = {2018}
}

Comments

Statements of Claim (1) in Theorems 2.6 and 3.3 are corrected

Related papers

View all related →