Square character degree graphs yield direct products
classification
🧮 math.GR
keywords
characterdegreedeltadirectsquaregraphgraphsgroup
read the original abstract
If $G$ is a solvable group, we take $\Delta (G)$ to be the character degree graph for $G$ with primes as vertices. We prove that if $\Delta (G)$ is a square, then $G$ must be a direct product.
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