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A family of graphs that cannot occur as character degree graphs of solvable groups

  • Mark W. Bissler,
  • Jacob Laubacher,
  • Mark L. Lewis

摘要

We investigate character degree graphs of solvable groups. In particular, we provide general results that can be used to eliminate which degree graphs can occur for solvable groups. Finally, we show a specific family of graphs cannot occur as a character degree graph for any solvable group.