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

Mark Bissler, Jacob Laubacher and Mark Lewis
arXiv.org
Cornell University Library, arXiv.org
27/02/2024

Abstract

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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.

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