On Sums of Degrees of Irreducible Characters Original Research Article

Let T(G) denote the sum of degrees of the irreducible characters of a groupG, H < G. Put δ(G, H) = T(G) − T(H). It is easy to show that δ(G, H) > 0. In this note we study the pairsH < Gwith small δ(G, H).