A super-Brauer character theory of a group G and a prime p is a pair consisting of a partition of the irreducible p-Brauer characters and a partition of the p-regular elements of G that satisfy certain properties.We c...A super-Brauer character theory of a group G and a prime p is a pair consisting of a partition of the irreducible p-Brauer characters and a partition of the p-regular elements of G that satisfy certain properties.We classify the groups and primes that have exactly one super-Brauer character theory.We discuss the groups with exactly two super-Brauer character theories.展开更多
基金supported by China Scholarship Councilthe Fund for Young Key Teachers of Henan University of Technology+2 种基金the Fund of Henan Administration of Foreign Experts Affairsthe Project of Henan Province(Grant No.182102410049)the NSFC(Grant Nos.11571129,11771356,11971189 and 11926330)。
文摘A super-Brauer character theory of a group G and a prime p is a pair consisting of a partition of the irreducible p-Brauer characters and a partition of the p-regular elements of G that satisfy certain properties.We classify the groups and primes that have exactly one super-Brauer character theory.We discuss the groups with exactly two super-Brauer character theories.
