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Finite groups whose character degree graphs coincide with their prime graphs

Temha Erkoç;  Utku Yilmaztürk;  İsmail Ş. Güloğlu — 2018

Czechoslovak Mathematical Journal

In the literature, there are several graphs related to a finite group G . Two of them are the character degree graph, denoted by Δ ( G ) , and the prime graph, Γ ( G ) . In this paper we classify all finite groups whose character degree graphs are disconnected and coincide with their prime graphs. As a corollary, we find all finite groups whose character degree graphs are square and coincide with their prime graphs.

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