Classifying Families of Character Degree Graphs of Solvable Groups

Mark W. Bissler; Jacob Laubacher

Classifying Families of Character Degree Graphs of Solvable Groups

Group Theory 2018-03-15 v2 Representation Theory

Authors: Mark W. Bissler , Jacob Laubacher

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.

Keywords

character degree graphs solvable groups prime character degrees graph classification

Cite

@article{arxiv.1708.00119,
  title  = {Classifying Families of Character Degree Graphs of Solvable Groups},
  author = {Mark W. Bissler and Jacob Laubacher},
  journal= {arXiv preprint arXiv:1708.00119},
  year   = {2018}
}

Comments

7 pages, 5 figures, updated version is reorganized

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