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math.GR2010
Lifts and vertex pairs in solvable groups
James P. Cossey, Mark L. Lewis
Suppose is a -solvable group, where is odd. We explore the connection between lifts of Brauer characters of and certain local objects in , called vertex pairs. We…
math.GR2010★ 2 cited
Counting lifts of Brauer characters
James P. Cossey, Mark L. Lewis
In this paper we examine the behavior of lifts of Brauer characters in p-solvable groups where p is an odd prime. In the main result, we show that if ϕ\in IBrp(G) is a Brauer chara…