On generalized Gagola characters

Abstract

We give a natural generalization of the Gagola characters of finite groups from the aspect of Galois conjugation of characters, and then present some criteria for the existence of such generalized Gagola characters. We also introduce the Galois pairs to obtain more structure information of a finite group possessing a generalized Gagola character, which seems to be of independent interest and worth further study.Mathematics Subject Classification. 20C15.