The number of lifts of a Brauer character with a normal vertex

JOURNAL OF ALGEBRA

卷:328

Article

Cossey, James P.²  Lewis, Mark L.¹  Navarro, Gabriel³ 

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Univ Akron, Dept Theoret & Appl Math, Akron, OH 44325 USA

[3] Univ Valencia, Dept Algebra, Fac Matemat, E-46100 Valencia, Spain

关键词: Lifts;    Brauer characters;    Finite groups;    Solvable groups;   

DOI  :  10.1016/j.jalgebra.2010.07.044

来源: Elsevier

【 摘 要 】

In this paper we examine the behavior of lifts of Brauer characters in p-solvable groups. In the main result, we show that if phi is an element of IBr(G) has a normal vertex Q and either p is odd or Q is abelian, then the number of lifts of phi is at most vertical bar Q : Q'vertical bar. As a corollary, we prove that if phi is an element of IBr(G) has an abelian vertex subgroup Q, then the number of lifts of phi in Irr(G) is at most vertical bar Q vertical bar. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free