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

作者：Cossey James P; Lewis Mark L^*; Navarro Gabriel

来源：Journal of Algebra, 2011, 328(1): 484-487.

DOI：10.1016/j.jalgebra.2010.07.044

• Lifts
• Brauer characters
• Finite groups
• Solvable groups

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.

• 出版日期2011-2-15