Author

G. Sivanesan

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Preprint Aug 2026

Splitting fields and spectral invariants of character degree graphs in solvable groups

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 character degree graphs of solvable groups and derive an explicit formula for their characteristic polynomials. We show that all their eigen...

G. Sivanesan, C. Selvaraj, J. Laubacher · 0 citations