Groups with One or Two Super-Brauer Character Theories  

作　　者：Xiao You CHEN Mark LLEWIS 

机构地区：[1]College of Science,Henan University of Technology,Zhengzhou 450001,P.R.China [2]Department of Mathematical Sciences,Kent State University,Kent 44242,USA

出　　处：《Acta Mathematica Sinica,English Series》2020年第4期379-394,共16页数学学报（英文版）

基　　金：supported by China Scholarship Council;the Fund for Young Key Teachers of Henan University of Technology;the Fund of Henan Administration of Foreign Experts Affairs;the Project of Henan Province(Grant No.182102410049);the NSFC(Grant Nos.11571129,11771356,11971189 and 11926330)。

摘　　要：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.

关 键 词：Super character theory super-Brauer character theory Brauer characters 

分 类 号：O156[理学—数学] O152[理学—基础数学]