Characters of Solvable Groups
I. Martin Isaacs
When character theory was developed at the end of the 19th century and in the early years of the 20th, it was viewed primarily as a powerful technique for proving theorems about finite groups. For example, Burnside’s paqbtheorem and Frobenius’s theorem on the existence of what we now call Frobenius kernels were early triumphs of the use of character theory as a tool for proving group-theory theorems. Indeed, characters continued to play an essential role in proving theorems about groups for another 50 years or so, culminating in the Feit–Thompson odd-order theorem.
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