Abstract
Let G be a finite π-separable group, where π is a set of primes, and let χ be an irreducible complex character that is a π-lift of some π-partial character of G. It was proved by Cossey and Lewis that all of the vertex pairs for χ are linear and conjugate in G if , but the result can fail for
. In this paper we introduce the notion of the linear twisted vertices in the case where
, and then establish the uniqueness for such vertices under the conditions that either χ is an
-lift for a π-chain
of G or it has a linear Navarro vertex, thus answering a question proposed by them.
2020 Mathematics Subject Classification:
Acknowledgments
The authors would like to thank the referee for helpful comments.