English

Classifying Character Degree Graphs With 6 Vertices

Group Theory 2018-08-22 v3 Representation Theory

Abstract

We investigate prime character degree graphs of solvable groups that have six vertices. There are one hundred twelve non-isomorphic connected graphs with six vertices, of which all except nine are classified in this paper. We also completely classify the disconnected graphs with six vertices.

Keywords

Cite

@article{arxiv.1709.09278,
  title  = {Classifying Character Degree Graphs With 6 Vertices},
  author = {Mark W. Bissler and Jacob Laubacher and Mark L. Lewis},
  journal= {arXiv preprint arXiv:1709.09278},
  year   = {2018}
}

Comments

14 pages, 7 figures. arXiv admin note: text overlap with arXiv:1707.03020

R2 v1 2026-06-22T21:55:59.961Z