Classifying Families of Character Degree Graphs of Solvable Groups
classification
🧮 math.GR
math.RT
keywords
graphscharacterdegreesolvablegammagroupsprimeadjoining
read the original abstract
We investigate prime character degree graphs of solvable groups. In particular, we consider a family of graphs $\Gamma_{k,t}$ constructed by adjoining edges between two complete graphs in a one-to-one fashion. In this paper we determine completely which graphs $\Gamma_{k,t}$ occur as the prime character degree graph of a solvable group.
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