Abstract
Roquette proved results involving induction about rings related to the character rings of finite groups and consisting of functions that vanish outside a p′-section; Kletzing did something similar for Q-characters. This paper gives new generalizations of these results involving K-characters for any field K of characteristic 0 as well as corresponding theorems for a set of primes. That these facts are useful is illustrated by showing that they imply a common generalization of the Witt-Berman and Artin induction theorems as well as results of Chen, Fan, Hu, Robinson, and Sin.
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