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A family of graphs that cannot occur as character degree graphs of solvable groups
Journal article   Peer reviewed

A family of graphs that cannot occur as character degree graphs of solvable groups

Mark W. Bissler, Jacob Laubacher and Mark L. Lewis
Beiträge zur Algebra und Geometrie, Vol.66(3), pp.727-738
01/09/2025

Abstract

Mathematics Physical Sciences Science & Technology
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 for solvable groups. Finally, we show a specific family of graphs cannot occur as a character degree graph for any solvable group.

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