Square character degree graphs yield direct products

Details Square character degree graphs yield direct products Square character degree graphs yield direct products

2011-05-13

arxiv.org/abs/1105.2799v1

Mathematics

Group Theory

Scientific paper

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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