7 citations · 9 across the 4 of their papers we have counts for
4 papers · 1 filter
On prime character degree graphs occurring within a family of graphs (iii)
Mark W. Bissler, Thatcher Debowski, Theodore F. Hoelker +3
We conclude the classification work done in the two previous papers of the same name. Here we add flexibility to the construction, thereby viewing the graphs in full generality. Ou…
On the Absence of a Normal Nonabelian Sylow Subgroup
Mark W. Bissler, Jacob Laubacher, Corey F. Lyons
Let be a finite solvable group. We show that does not have a normal nonabelian Sylow -subgroup when its prime character degree graph satisfies a technical hypothe…
Classifying Character Degree Graphs With 6 Vertices
Mark W. Bissler, Jacob Laubacher, Mark L. Lewis
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…
Classifying Families of Character Degree Graphs of Solvable Groups
Mark W. Bissler, Jacob Laubacher
We investigate prime character degree graphs of solvable groups. In particular, we consider a family of graphs constructed by adjoining edges between two complete graphs…