For a group G,we produce upper and lower bounds for the sum of the entries of the Brauer character table of G and the projective indecomposable character table of G.When G is aπ-separable group,we show that the sum o...For a group G,we produce upper and lower bounds for the sum of the entries of the Brauer character table of G and the projective indecomposable character table of G.When G is aπ-separable group,we show that the sum of the entries in the table of Isaacs'partial characters is a real number,and we obtain upper and lower bounds for this sum.展开更多
基金support of the China Scholarship Council,the Cultivation Programme for Young Backbone Teachers in Henan University of Technology,and the NSFC(11926330,11926326,11971189,11771356).
文摘For a group G,we produce upper and lower bounds for the sum of the entries of the Brauer character table of G and the projective indecomposable character table of G.When G is aπ-separable group,we show that the sum of the entries in the table of Isaacs'partial characters is a real number,and we obtain upper and lower bounds for this sum.