5 papers
Constructing solvable groups whose character degree graphs generalize the bowtie
Jacob Laubacher, Mark L. Lewis, Lorenzo Ravaglia +1
We present here a generalized construction of a finite solvable group whose prime character degree graph has the shape and structure of the bowtie graph. As with the original bowti…
Splitting fields and spectral invariants of character degree graphs in solvable groups
G. Sivanesan, C. Selvaraj, Jacob Laubacher
In this paper, we investigate the eigenvalues of character degree graphs, with particular emphasis on the arithmetic properties of their spectra. First, we study \((n-2)\)-regular…
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…
Properties of reproducing kernel Hilbert spaces of a group action
Tyler Blom, Samuel A. Hokamp, Alejandro Jimenez +1
In this paper, we investigate properties of a reproducing kernel Hilbert space of a group action. In particular, we introduce an equivalence relation on a compact Hausdorff space $…
On the metric dimension of the character degree graph of a solvable group
Peter J. Cameron, G. Sivanesan, C. Selvaraj +2
Let be a finite solvable group and let be the character degree graph of . In this paper, we obtain the metric dimension of certain character degree graphs. Specifica…