This research aims to establish a property of Brauer character kernels and propose a candidate for Isaacs’ partial character kernels.
Proved a property of kernels of Brauer characters.
Proposed a candidate for the kernels of Isaacs’ partial characters.
Analyzed the properties of the proposed candidate.
Validated that the proposed candidate has the same property as the kernels of Brauer characters.
Abstract
Abstract In this paper, we prove a property of kernels of Brauer characters. We propose a candidate for the kernels of Isaacs’ partial characters, and we show that this candidate has the same property.