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arXiv · 2306.12883

The Gruenberg-Kegel graph of finite solvable rational groups

Sara C. Debón·Diego García-Lucas·Ángel del Río
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Abstract

A finite group $G$ is said to be rational if every character of $G$ is rational-valued. The Gruenberg-Kegel graph of a finite group $G$ is the undirected graph whose vertices are the primes dividing the order of $G$ and the edges join different primes $p$ and $q$ whenever $G$ contains an element of order $pq$. In this paper, we complete the classification of the Gruenberg-Kegel graphs of finite solvable rational groups initiated in \cite{BKMdR}.

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Sara C. Debón, Diego García-Lucas, Ángel del Río. 2023-06-22. The Gruenberg-Kegel graph of finite solvable rational groups. https://arxiv.org/abs/2306.12883

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