A family of graphs that cannot occur as character degree graphs of solvable groups
Representation Theory
2024-02-28 v2
Abstract
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 as solvable groups. Finally, we show a specific family of graphs cannot occur as a character degree for any solvable group.
Cite
@article{arxiv.1707.03020,
title = {A family of graphs that cannot occur as character degree graphs of solvable groups},
author = {Mark W. Bissler and Jacob Laubacher and Mark L. Lewis},
journal= {arXiv preprint arXiv:1707.03020},
year = {2024}
}
Comments
10 pages