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Brauer Graphs

  • James Cossey,
  • Yong Yang

摘要

In this chapter we see applications of several large orbit theorems to the study of blocks of solvable groups. The Brauer graph \(\Gamma (B)\) of a block B of a solvable group is defined, and we prove an absolute bound on the diameter of \(\Gamma (B)\) . Along the way we discuss some of the basics of blocks of solvable groups.