Abstract
Let Q be a p-subgroup of a finite p-solvable group G, where p is a prime, and suppose that δ is a linear character of Q with the property that whenever
are conjugate in G. In this situation, we show that restriction to p-regular elements defines a canonical bijection from the set of those irreducible ordinary characters of G with Navarro vertex
onto the set of irreducible Brauer characters of G with Green vertex Q. Also, we use this correspondence to examine the behavior of lifts of Brauer characters with respect to normal subgroups.
Communicated by Mandi Schaeffer Fry
2020 Mathematics Subject Classification:
Acknowledgments
The authors would like to thank the referee for many valuable suggestions and corrections which have improved the exposition of the paper.