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arXiv · 1708.00119

Classifying Families of Character Degree Graphs of Solvable Groups

Mark W. Bissler·Jacob Laubacher
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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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Mark W. Bissler, Jacob Laubacher. 2017-08-01. Classifying Families of Character Degree Graphs of Solvable Groups. https://arxiv.org/abs/1708.00119

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